Although Dan couldn't figure out the possible playoff scenarios, you can, with the help of Baseball Prospectus (subscription required). Here's how it works, in their words:
How’s this for a stone gas: the Red Sox, Yankees, White Sox and Indians finishing in a four-way tie? It could happen and it wouldn’t take anything too far out of the ordinary to make it so.
New York splits with Baltimore, takes two of three from Boston
Boston takes three of four from Toronto, one of three from New York
Chicago takes one of four from Detroit, is swept by Cleveland
Cleveland is swept by Tampa Bay and then sweeps Chicago
New York sweeps Baltimore, takes one of three from Boston
Boston takes three of four from Toronto and two of three from New York
Chicago takes one of four from Detroit and one of three from Cleveland
Cleveland takes two of three Tampa Bay and two of three from Chicago
There are a couple of other variations that will get all four teams there as well.
What happens then?
Firstly, the teams would play off for the Divisional titles. Boston would head to Yankee Stadium and Chicago to Jacobs. The losers of those games would then play for the wild-card slot. That would be an interesting turn of events. It would be slightly more interesting if the Angels were to go 6-1 and finish with 95 wins as well.