I don't know about the quality of the PSU but it should work.. That PSU is good for about 400 watts on the 12 volt rails. Figure 150 watts for that gpu and 100 for the cpu board and all the rest. So your only at about 250 watts at the maximum possible load.
Check out this link, they have a gtx760 in a system similar to yours the whole computer including CPU and drives is only pulling 160 watts while playing games like metro lastlight.
http://www.tomshardware.com/reviews/geforce-gtx-760-review-gk104,3542-22.html