Hi Robert,
I would not rely on the position being consistent. Much better to use replacement to get the order you want.
sol = {{z -> 1.80464, y -> 0.0250839, x -> 0.0540758}};
{x, y, z} /. sol
(* {{0.0540758, 0.0250839, 1.80464}} *)
{y, x, z} /. sol
(* {{0.0250839, 0.0540758, 1.80464}} *)
