A percolation method is developed for hopping resistances of granular metals with non-nearest neighbor hopping included. The method is based on the variable-range-hopping model and neglects, for non-nearest neighbor hopping, the potential barrier presented by intermediate grains. This neglect of potential barrier is incorporated as a local constraint in the calculation. We have compared our result with experiments, and found that the inclusion of non-nearest neighbor hopping in the variable-range-hopping model results in reasonable agreement, in both the characteristic temperature and the temperature range over which the '1/2' law is observed for the hopping resistance. This quantitative comparison provides the evidence that hopping transport phenomena in granular metals can be described by the variable-range-hopping model.