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The spin-charge-family theory predicts before the electroweak break four -rather than the observed three - massless families of quarks and leptons. The 4x 4 mass matrices of all the family members demonstrate in this theory the samesymmetry, which is determined by the scalar fields: the two SU(2) triplets (thegauge fields of the family groups) and the three singlets, the gauge fields ofthe three charges (Q, Q' and Y') distinguishing among family members. All thescalars have, with respect to the weak and the hyper charge, the quantumnumbers of the {\it standard model} scalar Higgs: $\pm \frac{1}{2}$ and $ \mp\frac{1}{2}$, respectively. Respecting by the spin-charge-family theoryproposed symmetry of mass matrices and assuming (due to not yet accurate enoughexperimental data) that the mass matrices are hermitian and real, we fit thesix free parameters of each family member mass matrix to the experimental dataof twice three measured masses of quarks and to the measured quark mixingmatrix elements, within the experimental accuracy. Since any 3 x 3 submatrix ofthe 4 x 4 unitary matrix determines the whole 4 x 4 matrix uniquely, we areable to predict the properties of the fourth family members provided that theexperimental data are enough accurate, which is not yet the case. We, however,found out that the new experimental data for quarks fit better to the requiredsymmetry of mass matrices than the old data and we predict towards which valuewill more accurately measured matrix elements move. The present accuracy of theexperimental data for leptons does not enable us to make sensible predictions.

New experimental data for the quarks mixing matrix are in better agreement with the spin-charge-family theory predictions