$MgCO_3(s)+DeltararrMgO(s) + CO_2(g)$
And we would have to heat the magnesium salt VERY fiercely to get complete decarboxylation.
$"Moles of carbon dioxide LOST"$ $=$ $(4.40*g)/(44.01*g*mol^-1)$
$=0.010*mol$
And therefore in the original mixture there were $0.010*mol$ $MgCO_3$, i.e. a mass of $0.010*molxx84.31*g=8.43*g$.
The balance of the salt must have $MgO$, which is (reasonably) inert to heating.
$"Mass of MgO"$ $=$ $12.46*g-8.43*g=4.03*g$.