The Space Climate studies depend on proper characterisation of the factors influencing the geospace environment which naturally relies on many proxies. Recent timelines of some of the proxies can be compared with the measurements of the physical quantities which are more related to actual forcing of the geospace. We investigate the relations of dominant scales present in different space-based solar X-ray and EUV fluxes measurements with their respective proxies used for climatological studies. The present study takes advantage of using the novel Fast Iterative Filtering (FIF) technique. FIF is able to provide a very fine time-frequency representation, as it decomposes any nonstationary, nonlinear signals, into oscillating modes, called intrinsic mode components or functions (IMCs or IMFs), characterized by their specific frequency. This concept complements the common usage of Lomb–Scargle periodogram. The dominant scales found in different measurements and proxies can be further inter-related by scale-wise lags by the delayed intensifications in the common scales using IMXC technique. The instantaneous time-frequency representation is provided using the so-called “IMFogram” which illustrates the time development of the multi-scale processes. These IMFograms have the potential to show the greater details of the scale sizes which are dominant or even intensify during the changing solar forcing.