In this work, we propose a surface plasmon resonance (SPR) biosensor based on a hybrid structure of silicon nitride (Si3N4), molybdenum trioxide (MoO3), and graphene oxide (GO) in the Kretschmann configuration. In order to investigate the performance parameter of the SPR biosensor, we calculate, theoretically, the reflectance spectra of the proposed model and analysed it. The investigation of various performance parameters i.e., sensitivity, detection accuracy, and quality factor, of sensor configuration are theoretically done with the optimized thickness of silver (55 nm), silicon nitride (5 nm), molybdenum trioxide (10 nm), and graphene oxide (2.55 nm) respectively. The sensitivity, detection accuracy, and figure of merit for the proposed SPR structure is found at 301 deg./RIU, 4.01, and 133 RIU -1 respectively for the detection of IgG. It is clearly observed that the sensitivity of the proposed biosensor is enhanced by 43.2% with respect to other conventional SPR biosensors. The refractive index of the analyte changes from 1.33 to 1.37 due to adsorption of the analyte at the GO surface. The proposed sensor design is able to detect the small change in the refractive index of the sensing media doped with the analyte. Therefore, the proposed structure of the SPR sensor may have potential applications in the field of biomedical and chemical sensing applications.