to arrive (at a destination); to reach (a place).
ようやく駅のホームに行き着いたとき、電車は出ていった。
When I finally reached the platform, the train had already left.
彼らは深夜に目的の村に行き着いた。
They arrived at the village they were aiming for late at night.
迷っていたが、地図を見て正しい道に行き着いた。
I was lost, but after looking at the map I found the right road.
to come to a head; to reach a conclusion; to culminate in; to end up (in a certain state or result).
長い議論の末に、双方は妥協点に行き着いた。
After a long discussion, both sides arrived at a compromise.
研究を重ねた結果、この理論に行き着いた。
After extensive research, we came to this theory.
話が行き着くところは、結局費用の問題だ。
What it comes down to is, ultimately, a matter of cost.