The main objective of this paper is to study the boundedness character, the periodic character and the global stability of the positive solutions of the following difference equation $x_{n+1}=frac{{alpha}x_n+{eta}x_{n-1}+{gamma}x_{n-2}+{delta}x_{n-3}}{Ax_n+Bx_{n-1}+Cx_{n-2}+Dx{n-3}}$, n=0, 1, 1, ... where the coefficients A, B, C, D, ${alpha},;{eta},;{gamma},;{delta}$ and the initial conditions x-3, x-2, x-1, x0 are arbitrary positive real numbers.