Variations in the X component of the Earth`s magnetic field near the equator reflect the influence of equatorial ring current formed under the action of the charged particles of the solar wind. The traditional index describing this phenomenon is Dst. This index is obtained as an average value of the variations in different magnetometric stations located at different geographic longitudes, where the influence of local time is removed. The basic aim of present work is to investigate the dependence of the response of the X component on the local time. Due to the fact that the entry of the charged particles of the solar wind into the Earth's magnetosphere takes place in the night region of the Earth, a dependence of the response observed at a given geographic longitude on the local time must be assumed. In order to analyze Dst variations in X component at mid latitudes during three weak geomagnetic storms on February 2022, a chain of stations near the magnetic equator was considered. As a result, a methodology for reconstructing the X component is also proposed, and examples are shown for evaluating the quality of the developed model. The results thus obtained can be used to evaluate the spread of the influence of the equatorial ring current in the conditions of geomagnetic storms on various geophysical parameters.