Kansas City has been eliminated from first place.

To show that Kansas City is eliminated from first place, we start with the current standings:
            Team	W	L	GL	PCT	GB
       Cleveland	92	69	1	0.571	0.0
         Detroit	86	76	0	0.531	6.5
     Kansas City	86	76	0	0.531	6.5
       Minnesota	82	80	0	0.506	10.5
         Chicago	41	121	0	0.253	51.5
           Total	387	422	1

Kansas City can finish the season with at most 86 + 0 = 86 wins and will finish the season behind the following teams:
Cleveland has already won 92 games.
# Kansas City Royals' magic number
# Kansas City's magic number
# Royals' magic number
# MLB Playoff Race