not just fat, fat does add a lot of calories. I find that fat keeps me full, and I loose weight when I add more fat. Here is a typical menu for me:

Breakfast - 2 oz cream cheese mixed with 50/50 jam
Breakfast 2 - two boiled eggs mixed with two tbls mayo
Lunch 1 - chicken salad (3 oz chicken breast diced with onion
boiled egg, mayo)
Lunch 2 - tossed salad with blue cheese dressing 1 1/2 cup
Dinner - Protein Shake
Dinner 2 - 1/2 cup broccoli with butter

This is about 1600 calories, 93 grams of fat. I am aiming for 1900 calories a day, but having a hard time fitting them in but will continue to work on it. I cut down on fat one time and found myself hungry all the time, then I quit loosing weight. Once I increased my calories, started eating more meals a day, and added the fat back in I've started loosing again.

Hope this helps.