Answer: Blake won...
...then Dale, Alex, Chris and Emery.
By placing the person who finished higher to the left we have:
1. Dale finished before Alex Dale > Alex
2. Emery finished after Blake Blake > Emery
3. Alex finished before Chris Alex > Chris
4. Emery finished after Dale Dale > Emery
5. Blake finished before Alex Blake > Alex
6. Dale finished after Blake Blake > Dale
7. Chris finished before Emery Chris > Emery
From 1 and 3:
Dale > Alex > Chris
Dale > Alex > Chris > Emery
Blake > Dale > Alex > Chris > Emery
Which is the final placing for all of the players, and can be double checked with the remaining clues.