Only the top 50 players on the Race to Dubai Rankings in Partnership with Rolex will head to Jumeirah Golf Estates' Earth Course next week, with England's Wallace heading to Sun City in 55th and Sweden's Dantorp 53rd.
Wallace produced an excellent closing 67 at Gary Player Country Club to finish in a share of 15th place, with 94.5 Race to Dubai points promoting him to 48th in the standings.
Dantorp took 67.2 points for finishing in a tie for 26th and will be heading to the Middle East in 49th place.
England's Daniel Brown took the 50th and final spot in the field, edging out Denmark's Marcus Helligkilde by 1.11 point.
Max Homa's victory also ensured that Rory McIlroy will be crowned Race to Dubai champion for the fifth time.