Chopra, who was third after the first round, finished at seven-under 281 for four days.
He carded a final round of 73 which had four birdies, three bogeys and one double bogey.
Jason Dufner finally ended his title drought beating Ernie Els in a play-off.
It was his first career win that came after he tied with Els at 19-under and then won on the second play-off hole. It took 164 starts for the 35-year-old to win his first title and it came with a birdie from under two feet.