Yes, the Corsair CX400 is an excellent power supply. However, here are the ATI offical power requirements for the ATI Radeon HD 4770 video card:
ATI Radeon™ HD 4770 - System Requirements:
PCI Express® based PC is required with one X16 lane graphics slot available on the motherboard
450 Watt or greater power supply with one 75 watt, 6-pin, PCI Express® power connector.
550 Watt or greater power supply with two, 75 watt, 6-pin PCI Express® power connectors for ATI CrossFireX™ technology in dual mode
That's for an entire pc system. The 4770 is an energy efficient video card. I just happen to have the XFX version in my pc and I'm getting ready to buy a second one.
I would suggest Corsair VX450 if you are positive you will only be using one 4770:
http://www.newegg.com/Product/Product.aspx?Item=N82E16817139003
If you are thinking about using two 4770's, then I would suggest the Corsair VX550:
http://www.newegg.com/Product/Product.aspx?Item=N82E16817139004
Yes, I have numerous posts saved in MS Office. Spend enough time here and you keep seeing the same questions over and over and over. It made more sense to come up with the general rule of thumb and simply paste it in. Beats the heck out of typing the same answer over and over. I also have over 50 references bookmarked for quick access.