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From first principles, we calculate the Heisenberg interactions betweenneighboring dimers in several compounds within theEt$_{n}$Me$_{4-n}X$[Pd(dmit)$_2$]$_2$ (Et = ethyl, Me = methyl, dmit =2-thioxo-1,3-dithiole-4,5-dithiolate) family using an atomistic approach; withbroken-symmetry density functional theory. In all materials, we find a scalenetriangular model where the strongest exchange coupling along onecrystallographic axis is up to three times larger than the others and thatfrustration further enhances this quasi-one-dimensionality. We calculate theN\'eel ordering temperature via the chain random phase approximation (CRPA). Weshow that the difference in the frustrated interchain couplings is equivalentto a single bipartite interchain coupling, favoring long-range magnetic order.We find that the N\'eel ordering temperatures are in good agreement with theexperimentally measured values for most compounds.

$x$-[Pd(dmit)$_2$]$_2$ as a quasi-1D, scalene Heisenberg model