Since you are not a world leader you cannot do anything about world poverty.
Since you are not the leader of your country you cannot do anything about poverty in your country.
But since you live in your neighbourhood you can take the initiative to get engaged locally in the issues you feel strongly about. There will be 2 consequences: 1- You will discover why people end up living in poverty in your area. 2- People will watch your impact and will be encouraged to follow your lead.
I also wrote a hub page about micro-finance which may give you ideas.