I'm not sure why what you did didn't work, but try right clicking on the track you want to play next and choosing "queue next". You should see a number next to the track name.
Just beware that once you've queued a song, if you want to make another one play ahead off it you'll have remove it from the queue. Add once the queue is done, things will proceed down the list from the last played track, no matter where it is.