The equilibrium constant does not change unless the temperature changes. If the equilibrium is disturbed by changing the concentration the position of equilibrium will shift so that a new equilibrium will be set upFor the equilibrium:
Adding ethanol makes the bottom of the equilibrium law larger so more ethanol reacts with ethanoic acid to restore Kc and the position of equilibrium moves to the right until the expression is once again equal to Kc.
CH3CH2OH + CH3COOH ⇌ CH3COOCH2CH3 + H2O