The fourth-order dispersion coefficient of fibers are estimated by the iterations around the third-order dispersion and the high-order nonlinear items in the nonlinear Schordinger equation solved by Green's function approach. Our theoretical evaluation demonstrates that the fourth-order dispersion coefficient slightly varies with distance. The fibers also record 4 values of about 0.002, 0.003, and 0.00032 ps4/km for SMF, NZDSF and DCF, respectively. In the zero-dispersion regime, the high-order nonlinear effect (higher than self-steepening) has a strong impact on the transmitted short pulse. This red-shifts accelerates the symmetrical split of the pulse, although this effect is degraded rapidly with the increase of \beta 2. Thus, the contributions to \beta 4 of SMF, NZDSF, and DCF can be neglected.