A portable RF docking station is detachably coupled to a palm-sized computer to provide extended wireless communication through a radio modem and wireline communication through a wireline modem. Both modems are contained inside the docking station and are powered by rechargeable batteries. The docking station includes a housing having a flat platform, a side section that extends vertically upward along a side edge of the platform and a rear section that extends vertically upward along a rear edge of the platform. The housing in combination with a data connector holds the computer and docking station together as one cohesive unit. A four-stage charging circuit maintains the rechargeable battery in a fully charged condition.