There is no guarantee of the order of pieces on the stacker - each stacker toy will come with a base and 4 rings, each one a different colour but there is no saying what colour the base will be or what colour each of the large, medium, small and tiny rings will be. Therefore simply put every single colour exists as every ring size and base.
So for example the stacker toy in the one you have purchased is missing a purple/pink ring and has a gold ring/gold base too many.
It works as below:
Aqua, Blue, Pink, Purple, Yellow - Baby Quackers [Y5-US]
Aqua, Blue, Pink, Purple, Yellow - Baby Tic Tac Toe [Y5-US]
White, Pink, Green, Yellow, Blue - Baby Applejack [Y3-UK]
White, Pink, Green, Yellow, Blue - Baby Glory [Y3-US]
White, Pink, Green, Yellow, Blue - Baby Surprise [Y3-US]
White, Pink, Green [Light], Yellow, Blue - Baby Wulferchen [Y11-GER]
White, Pink, Green [Light], Yellow, Blue - Paradise Estate [PS]
White, Purple Pink, Yellow, Green, Blue - Baby Dots n Hearts [Y7-US]
White, Purple Pink, Yellow, Green, Blue - Baby Splashes [Y7-US]
White, Purple Pink, Yellow, Green, Blue - Baby Starburst [Y7-US]
Yellow, Green [Bright], White, Blue, Gold - Babies Fleecy & Wooly [Y7-US]
Yellow, Green [Bright], White, Blue, Gold - Babies Pockets & Hoppy [Y7-US]
The order of the colours in stack toys is random - for example in one release Baby Quackers might have a pink base to her stack toy topped by a yellow ring, then topped by a purple ring, then topped by a blue ring and finally topped by an aqua ring while another release she may have an aqua base, topped by a blue ring, topped by a purple ring, topped by a pink ring and then topped by a yellow ring.
And now we need Chips amazing army pics!