Abstract: Observations of the dynamically complex galaxy cluster Abell 4067 (A4067; z = 0.0992) were carried out using the Chandra X-ray Observatory (CXO). The study identifies a merger structure wherein a compact subcluster is coalescing with a more extended, diffuse cluster along the east-west axis. The core temperature of the subcluster is approximately 1.37 keV, while the mean temperature of the primary cluster is about 2.44 keV. X-ray imaging and spectral analysis reveal intricate structures, including surface brightness discontinuities, indicative of an ongoing merger event. The radial profiles of X-ray surface brightness and temperature distributions reveal three distinct surface brightness edges, one of which corresponds to a merger-driven cold front, while the other two are associated with merger shocks. These shocks, located on the eastern and western peripheries of the cluster, suggest that A4067 is a rare system exhibiting a dual-shock merger morphology. Based on the properties of the eastern shock SF1, the article estimates the merger timescale of A4067 to be approximately \left(0.51\pm0.01\right)\, \rmGyr , suggesting that the system is in the intermediate stage of the merger process. Additionally, leveraging the Mach number of the cold front, the article derives a lower bound on the intracluster magnetic field strength of approximately 7.17 \times 10^-6 Gs. The dynamical configuration of A4067 aligns with a scenario involving the merger of a compact subcluster with a more massive, diffuse cluster along the east-west axis, resembling the archetypal Bullet Cluster merger.