Place the mangoes, strawberries and banana on a small baking sheet in the freezer to partially freeze, about 15 minutes.
Place 4 ice cubes in a blender and crush. Add the cold fruit, yogurt, juice, rum, and lime juice and process on high speed until frothy and thick. Pour into 2 tall glasses and top each with 2 tablespoons of coconut.
Serve immediately.
Yield: 2 servings