In the given question, we need to identify which of the listed fats is rich in short and medium chain fatty acids.

To solve this, we should understand the nature of the fatty acids present in each option:

1. Butter: Butter is known to contain significant amounts of short and medium chain fatty acids, particularly butyric acid (a short chain fatty acid) and caprylic and capric acids (medium chain fatty acids). These fatty acids are highly digestible and offer several health benefits.
2. Peanut oil: This oil primarily consists of long-chain fatty acids, mainly linoleic acid and oleic acid, making it less of a source for short or medium chain fatty acids.
3. Almond oil: Similar to peanut oil, almond oil is high in monounsaturated fats like oleic acid, which are long-chain fatty acids.
4. Margarine: Margarine is often made from hydrogenated or interesterified fats that are long-chain fatty acids. It is generally low in short and medium chain fats.

Based on this analysis, Butter is the correct choice as it contains higher concentrations of short and medium chain fatty acids compared to the other options given.

Therefore, the correct answer is: \(\text{Butter}\).