Kapur, the lone Indian to make the cut this week, ended the tournament at four-over 288.
Jeev Milkha Singh and Gaganjeet Bhullar had earlier missed the cut.
Kapur opened with a bogey on first but birdies on fifth, seventh, 10th and 11th saw him climb to three-under, but he once again had problems on the back nine at the Le Golf National as he dropped three bogeys between 13th and 16th.
A closing birdie on 18th did give him a positive feel unlike the second and third days when he bogeyed the 18th.
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Stadler was one-over through five holes and eight-under for the tournament, while Riu, also one-over for six holes, was four-under for the tournament.
Jamie Donaldson, Robert Karlsson and Graeme McDowell, Michael Hoey and Matt Baldwin were just behind them.
Thailand's Thongchai Jaidee defied the blustery showers on Saturday to score 69 and he repeated that on final day to show that he was all set for the last two Majors of the year.