GTA IV WILL WORK ON WINDOWS 7 .
but games not only demand processor ram and operating system they are graphics hungry too so you should need a better graphics card like 650 or above i have gt610,pentium daul core 2.7 and 3gb of rams so i tried gta4 on it but the environment looks blurry and it loads slowly your mentioned specs are good to run it please also mention the dual cores ghz (speed) and check your pcs compatability with games at www.canirunit.com.....