The cost of warehouse space is allocated to three inventories: raw materials, work$-$in$-$process, and finished goods. The inventories use the warehouse space in the ratio of $\frac{5}{8}$ to $\frac{2}{7}$ to $\frac{3}{7},$ respectively. If the total warehouse space is $8\mathrm{.}6$ million square metres, at a cost of $$11\mathrm{.}4225$ million, how much of the cost should be allocated to each of the inventories?

$\backslash$table$[[$Inventories$,$Cost$],[$Raw materials,$$$ million,$],[$Work$-$in$-$process,$$$ million,$],[$Finished goods,$$$ million,$]]$

$($Round to four decimal places as needed.$)$