It's not about how much you put in. Coconut milk has one of nature's highest concentration of medium-chain triglycerides, which are the only fats that are mildly thermogenic and are most easily converted into energy and therefore least likely to be stored as body fat. Adding coconut to what you already eat isn't going to help - you'll just be eating excess calories. You would have to displace fat you already eat with coconut. For example, if you normally cook your meals with 2 tablespoons of olive oil, replace that with 2 tablespoons of coconut oil. If you normally put heavy cream in your coffee or whipped heavy cream on your berries, replacing that with coconut milk/whipped coconut milk respectively would help aid in additional fat loss. However, if you take your normal meals and add a can of coconut milk in, you'll just be slowing fat loss. Coconut's not magic by any means. It's just a little tool when combined with other little tools can add up to big losses of fat over long periods of time.
Don't put your trust in anyone on this forum, including me. You are the key to your own success.