Yes, Kingston 4 GB memory part number KVR1333D3N9/4G is compatible with the 740GM-P25 motherboard.
The trouble with the system not working with the memory is probably because the 4 GB memory module is not quite compatible with the existing 2 GB memory module. Even modules with the same part number (which are NOT from a dual channel kit) might not work together due to variations in memory module characteristics.
If still want to get compatible memory operation using individual modules, then it might require testing a few different modules (that are compatible with the motherboard) until a compatible combination of memory modules is found.
When using two modules, it is usually preferred to use a dual channel kit to begin with, because the memory modules are guaranteed to be compatible with each other. So getting a dual channel kit could save a lot of time and money.