First, you need to have the vapor/liquid K factors which are listed in a lot of sources, the GPSA Engineering data books being one.
Since you have a gas composition, you have the vapor mol fractions for each component. To calculate the dew point, you guess a temperature and look up the K factor for each component. Use that K factor (K = y/x) to calculate the liquid mol fraction for each component given its vapor mol fraction.
Then add up all the liquid mol fractions. If the sum is equal to 1.0, you made a great guess for the dewpoint temperature and are finished.
If the sum of the x for all the components is less than 1.0, you need to try a lower temperature.
If the sum is greater than 1.0, you need to try a higher temperature. You continue until your sum of the x = 1.0 OR you sufficiently bracket your answer for what you need.