The vast knowledge of strong influence of quadrupole deformation β2 of colliding nuclei on heavyion subbarrier fusion reactions inspires a desire to quest the sensitivity of fusion dynamics to higher order deformations, such as β4 and β6 deformations. However, such studies have rarely been carried out, especially for deformation of projectile nuclei. In this article, we investigated the role of β4 of the projectile nucleus in fusion of the 28 Si + 92 Zr system. We demonstrated that the fusion barrier distribution is sensitive to the sign and the value of the β4 parameter of the projectile, 28 Si, and confirmed that the 28 Si nucleus has a large positive β4. This study opens an indirect way to estimate deformation parameters of radioactive nuclei using fusion reactions, which is otherwise difficult due to experimental constraints.