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In this study, the Variational Iteration Technique (VIT) was applied, utilizing fourth kind Chebyshev polynomials, to compute numerical solutions for tenth-order boundary value problems. The novel approach involved creating fourth order Chebyshev polynomials specifically tailored for the given boundary value problems. These polynomials were then employed as basis functions for approximation within the VIT framework. The effectiveness and dependability of this method were demonstrated through numerical examples provided in the study. The calculations were performed using Maple 18 software, which provided the implementation and execution of the proposed approach. 

boundary value problems, fourth kind Chebyshev polynomials, variational iteration technique, approximate solutions.