The Active Pen PN557W is compatible with the Dell Latitude models 5285, 5289 and 5290. For the Dell Latitude 7410 there is no direct reference to compatibility with this pen in the available information.
However, one source mentions the PN5122W model as compatible with the Latitude 7410, but not the PN557W. Therefore, the PN557W is probably not suitable for the Latitude 7410 or at least not officially listed as compatible.