The most appropriate layering process for a compost pile among the options provided is:
a layer of grass clippings, a layer of fruit scraps, some soil, and some water.
This option includes a mix of green materials (grass clippings and fruit scraps), which provide nitrogen, and brown materials (soil), which provide carbon. Water is also essential for the composting process. The other options either include inappropriate materials (like cheese, which can attract pests) or lack a good balance of greens and browns.