I assume the fuel is a pure hydrocarbon, without any other elements, burning in pure oxygen.
So you have the general (unbalanced) equation of:
a CxHy + b O2 --> (a*x) CO2 + (a*y/2) H2O
the mass of your hydrocarbon you know from your burner mass, the mass of water + carbon dioxide you know from the tube. However, you do not know the ratio of the 2, which complicates things:
I have a solution, but I do have 1 small problem... your measurements.
see, if you assume your tube contains both water AND CO2 generated by the reaction, it has to have MORE mass increase than the fuel lost; this because the oxygen from the air reacts with it and increases the total mass...
in your shown experiments it seems like the tube gains less mass than the fuel loses. which means you lose a product somewhere (you cannot just lose mass)