From lemon, grate 1 teaspoon peel and squeeze 3 tablespoons juice. From lime, grate 1 teaspoon peel and squeeze 2 tablespoons juice. From orange, grate 1/2 teaspoon peel and squeeze 1/4 cup juice.
In 3-quart saucepan, combine lemon, lime, and orange peels, cranberries, strawberries with their syrup, wine, and sugar; heat to boiling over high heat. Reduce heat to medium low and cook, uncovered, about 20 minutes longer or until sauce becomes very thick, stirring to keep from scorching. Stir in lemon, lime and orange juices.
Spoon cranberry sauce into serving bowl; cover and refrigerate until well chilled, at least 4 hours.