We present cumulative fission product yields from the $^{238}\mathrm{U}(n,f)$ reaction at an incident energy of 4.6 MeV for fission products with half-lives from less than one second to several hours. We employed direct $\ensuremath{\gamma}$-ray spectroscopy to measure unseparated fission products with a conventional neutron activation analysis and a cyclic activation technique using the RApid Belt-driven Irradiated Target Transfer System (RABITTS). Yields were determined for 78 isotopes and isomers, covering the mass range $84\ensuremath{\le}A\ensuremath{\le}148$ and the charge range from $33\text{(As)}\ensuremath{\le}Z\ensuremath{\le}58\text{(Ce)}$. Our experimental cumulative yields are compared to the literature and evaluated data at ${E}_{n}\ensuremath{\approx}0.5$ MeV from ENDF/B-VIII.0 and JEFF-3.3 libraries and with theoretical models using the gef and freya codes at ${E}_{n}=4.6$ MeV.