Fourth position in league is still available and many clubs want to take it. And I also think Manchester City is most likely team to get it even though they have not been playing well all time this season. Fact is that they won their last match shows that they really want to keep their title from last year. Chelsea and Newcastle also have chance but Manchester City has more experience and stronger team which gives them an advantage. Arsenal and Nottingham are also trying to get the fourth spot but it is not safe for them yet. There are still many games left to play and if they do not keep playing well other teams might catch up and take their place. If some of their best players get hurt that could also hurt their chances and make it hard for them to stay where they are.
Maybe the Manchester City Football Club has not been able to win their last match, before we saw that Manchester City was able to draw against the Brighton football team in the Premier League. So as you mentioned, it may not be correct, then the Chelsea Football Club would have been number five in the points table and Manchester City was in fourth place on the football club point table. In fact, in my opinion, there may be a lot of fighting between the two sections of the Premier LeagueChelsea and New Castle Football Clubs may also want to sit themselves in the place, but Manchester City Club is a very balanced team from them so they may try to stay in that place and the other teams will not be able to hit them easily.