Card-Sorting in Mobile App

The user needs to order a stack of cards, let's say each one representing a task. Let's assume the user has already ordered a set of tasks and now he needs to place a new one within the stack at the right priority order. In order to find the right place for the card the user needs to inspect the tasks.

One idea would be to implement some sort of android multitasking view, but I would need that at least the card I'm inserting and the one that would stay just on top are fully visible, so the user can make up her mind about the position.

Any idea of existing designs to achieve my goal?