What are your thoughts about holding someone accountable?

Situation: Someone tells you that they will do something (or have something done, like a service) but it will involve several people for it to be seen through to completion. As the agreed upon service is unfolding, it is clear that its going to get screwed up because there are multiple people involved with several different parts to coordinate to make it happen.

What do you do at this point?

1. Deal with the individual parts and let it play out, hoping it is done correctly.
2. Go straight to the person who set the whole thing in motion and make sure they are coordinating the various pieces so the outcome is successful.
3. Let it all go to crap and then hope it can clean it up after.

Being a planner, I think you know which way I would go here. But, I really want to know…what do you think is the best way to approach this?

Do you let the person who promised something hold on to that accountability, or do you take it on yourself?