The picture says it all 
AMPK inhibits mTOR. AMPK is elevated for 2-3 hours after harder cycling session. mTOR is elevated for 12-24 hours after strength session. Easy endurance stimulates CaMK pathway and AMPK is low. Together with the knowledge that you need elevated mTOR to increase muscle SIZE and elevated PGC-1alpha to build mitochondria you can decide which order is preferred.
Certainly, option #2 is the best order if you are a cyclist. You could do #3 or #4 if you keep the cycling intensity low. However, keep in mind that even prolonged lower intensity will cause SIRT1 to inhibit mTOR (basically no resources shuts down building of stuff) so you should keep it short.
Building strength is slightly different than building muscle but some muscle hypertrophy might be essential. If your priority is strength, ordering of sessions will be different (would prefer #3 #4 with the same caveats as above).
Disclaimer, I have only read a couple of articles and seen this picture before. My understanding is superficial at best!