Compare the motherboard connectors. First the 20 or 24 pin to a diagram for standard ATX. Does it match? If colors are different but consistent mapping to same pin positions, it may still be standard but being an OEM supply they just substituted one color. For example, often blue was used for 12V on some OEM supplies that were standard ATX.
Compare any other connectors to the Dell mobo. What are they? Colors, pin config, etc. Does a standard ATX have them?
Compare the casing shape of the PSU. Some Dell have VERY proprietary shapes, and no substitute is available except from Dell, or through grey market surplus that was (still made for) Dell.
These standard pin positions, voltages (can be checked with multimeter if necessary), and casing dimensions are easily found via Google search.
The original Dell label will also give indication of anything unique electrically, like if there were an additional rail for 3.3VSB (which IS rarely used by some OEMs/models).
IF the case can accept a std ATX (or can be made to fit by dremeling or whatever as other poster mentioned), yes you might do well to consider higher than 250W, but don't think watts alone, think about which rail voltage is most taxed and buy a PSU with more current output on that rail - from a manufacturer you trust to rate accurately, buying a $25 "600W" PSU isn't such a smart move, for example.
You write "Dell 4600". That is not a system, it is a brand and model # but not family #. Did you know there is a 4600 server? We might assume it's a Dimension PC instead, but if we were to keep playing odds making assumptions, it is bound to be wrong a certain % of the time, especially when someone is asking about trying substitutions of std parts, as if there might be a reason they couldn't.
Anyway, from what I vaguely recall of a similar system, which looked the same but may or may not be a 4600, it had a std. ATX PSU. Don't rely on this, compare to std. specs as mentioned above.
You might also check
HERE, not only for a 4600 supply but other Dell supplies as when an OEM does something proprietary, they tend to try to use the form factor and pinout on multiple models to whatever extent is prudent at the time, it saves costs and parts some. Compare to pics and substitute part numbers, glen all data and do cross-references to other sources of info to compare if you do end up needing something proprietary.
If the only limitation were that it was an odd shape only available from Dell, it could end up costing no more and you could end up with a better PSU by buying a whole new case that accepts a std shape/dimension PSU, as some of Dell's cost quite a lot for what they are.