Estimating the requirements of a 4K Encode to 1080P will require about 15,000+ Passmark CPU Score.
CPU model: Passmark score, MSRP SGD price, 4k transcoding capability for Plex Media Server
AMD Epyc 7601: 51,207 (est.), $4229 (not really affordable!), can transcode three 4k streams concurrently
Intel i9-7980XE: 32,618 (est.), $2693, can transcode two 4k streams concurrently
Intel i9-7960X: 31,224 (est.), $2289, can transcode two 4k streams concurrently
Intel i9-7940X: 30,248 (est.), $1885, can transcode two 4k streams concurrently
AMD ThreadRipper 1950X: 26,350, $1350, can transcode one 4k stream
Intel i9-7920X: 24,255 (est.), $1600, can transcode one 4k stream
AMD ThreadRipper 1920X: 23,200 (est.), $1075, can transcode one 4k stream
Intel i9-7900X: 23,068, $1350, can transcode one 4k stream
Intel i7-7820X: 19,159, $810, can transcode one 4k stream
Intel i7-6900K: 17,980, $1350, can transcode one 4k stream
AMD ThreadRipper 1900X: 17,211 (est.), $740, can transcode one 4k stream
AMD Ryzen 1800X: 15,419, $565, can transcode one 4k stream
AMD Ryzen 1700X: 14,663, $438, may stutter
Intel i7-8700K: 14,577 (est.), $540, may stutter
Intel i7-8700: 14,452 (est.), $470, may stutter
AMD Ryzen 1700: 13,816, $365, will stutter
You may wish to upgrade your Plex server to a Ryzen 7 1700X overclocked and liquid cooled to 4.0GHz or get a 1800X...