The search for charged particle tracks in detectors with linear sensing elements, such as multiwire proportional drift chambers, silicon strip detectors etc., often begins with the identification of a straight segment of track. This can be achieved by constructing all reasonable combinations of fired detector channels. In high multiplicity environment, with many fired detector channels, this approach causes large combinatorics and significantly reduces the performance of the track finding algorithms. We provide a method which allows to find initial approximations of straight segments of track in space using four linear sensing elements. This method is especially helpful if there are no parallel elements in the setup. The procedure can also be applied as a first approximation to the case of finding curved tracks. In general, it can be used to find a line in space which crosses the other four lines.