Wash the oranges and the apple really well.
Cut the orange into sections, so they grate well in the food processor. First, cut the bottom off the orange. Set the flat side down on a board, cut it down into wedges, then remove the white center pith which is bitter by running the blade of a knife down the pith. Leave the orange peel skin on, and be sure to remove any remaining seeds and or white pulp.
Slice the apple open, and remove the seeds and core. Cut into chunks. Hold back a few cranberries and thin orange slices for garnish.
In a food processor, pulse the apple, two oranges with the peel on (trust me here), pineapple chunks, and the cranberries finely using a grating blade. Or grate the apple on a hand grater and hand chop the oranges, pineapple and cranberries.
Place the grated mixture in a large bowl, and toss with 1 tablespoon of granulated white sugar. Mix really well.
Make ahead up to two days ahead, and keep in the fridge until ready to serve in an airtight container.
Place in a nice serving dish with a spoon and serve chilled garnished with a few plump cranberries, orange slices and or orange zest.