Arrange alternate layers of shredded pineapple, sliced bananas, and sliced oranges, sprinkling each layer with powdered sugar. Chill before serving.
To Shred Pineapple. Pare and cut out eyes, pick off small pieces with a silver fork, continuing until all soft part is removed. To Slice Oranges. Remove skin and white covering, slice lengthwise that the tough centre may not be served; seeds should be removed.