This is the 84th most frequent Japanese word.
いく
"いく" means "to go."
Here, '行く' is used in its basic meaning, 'to go', expressing a future action of going to a location.
私は明日学校に行く。
I will go to school tomorrow.
In this sentence, '行く' is used metaphorically to denote the progression or continuation of an action.
このプロジェクトは順調に進んでいくはずです。
This project should proceed smoothly.
Here, '行く' indicates a change or continuation over time towards a positive direction.