  We extend a previous cross-calibration study by the International
Astronomical Consortium for High Energy Calibration (IACHEC) on
XMM-Newton/EPIC, Chandra/ACIS and BeppoSAX/MECS X-ray instruments with clusters
of galaxies to Suzaku/XIS instruments. Our aim is to study the accuracy of the
energy-dependent effective area calibration of the XIS instruments by
comparison of spectroscopic temperatures, fluxes and fit residuals obtained
with Suzaku/XIS and XMM-Newton/EPIC-pn for the same cluster. The temperatures
measured in the hard 2.0-7.0 keV energy band with all instruments are
consistent within 5 %. However, temperatures obtained with the XIS instruments
in the soft 0.5-2.0 keV band disagree by 9-29 %. We investigated residuals in
the XIS soft band, which showed that if XIS0 effective area shape is accurately
calibrated, the effective areas of XIS1 and XIS3 are overestimated below 1.0
keV (or vice versa). Adjustments to the modelling of the column density of the
XIS contaminant in the 3-6 arcmin extraction region while forcing consistent
emission models in each instrument for a given cluster significantly improved
the fits. The oxygen column density in XIS1 and XIS3 contaminant must be
increased by 1-2E17 cm^-2 in comparison to the values implemented in the
current calibration, while the column density of the XIS0 contaminant given by
the analysis is consistent with the public calibration. XIS soft band
temperatures obtained with the modification to the column density of the
contaminant agree better with temperatures obtained with the EPIC-pn instrument
of XMM-Newton, than with those derived using the Chandra-ACIS instrument.
However, comparison of hard band fluxes obtained using Suzaku-XIS to fluxes
obtained using the Chandra-ACIS and EPIC-pn instruments proved inconclusive.
