We construct the probe D5-brane solution in AdS(5) x S-5 dual to the 1/4-BPS latitude Wilson loop in N = 4 super Yang-Mills theory in the k-antisymmetric representation of SU(N). The solution is exact in the latitude parameter theta(0) and correctly reproduces the 1/2-BPS limit. We compute the string charge k and the renormalized on-shell action perturbatively to order O(theta(10)(0)) and find full agreement with the expectation value of the Wilson loop predicted by the Gaussian matrix model in the limit N similar to k -> infinity, lambda -> infinity.