Seattle (13-8-4) won its third in a row and has six victories in its last seven outings, a streak that has moved the Sounders into a tie with Los Angeles for second place in the Western Conference
Neagle scored his sixth goal of the season off a free kick taken by Marc Burch.
Chivas (5-15-7) is firmly set in last place in the Western Conference, 12 points behind eighth-place San Jose. Chivas has just one win in its last seven games.
Notable deaths of 2014 [PHOTOS]
Arizona Cardinals player formally charged