Wright's salary is listed at $14MM at Cot's Baseball Contracts, so acquiring him on July 31st would require adding about $4.5MM. I imagine the cost in players to acquire Wright would be an even bigger concern, but only if he starts hitting in the next two months. Plus, the Tigers are already paying Brandon Inge $5.5MM this year and next to man the hot corner.
The Tigers haven't gotten much from outfielders Ryan Raburn, Austin Jackson, and Magglio Ordonez so far this season. A few speculative trade ideas: Jeff Francoeur, Jason Kubel, Hunter Pence, Ryan Ludwick, and Luke Scott. Problems: acquiring Francoeur or Kubel from division rivals could be tough, and Pence may not be available. Carlos Beltran would be a nice fit, but he earns more than Wright.
The Tigers were seven games out and in third place ten days ago, but since then they've won seven straight. They're now in second place, 3.5 games behind the Indians with Max Scherzer on the hill tonight.