Fetching details from the dictionary...

to advance; to move forward; to put (a clock, watch) forward
to carry forward (plans, work, etc.); to proceed with; to make progress in; to further; to advance; to hasten; to speed up
to raise; to elevate; to promote; to develop; to stimulate (e.g. one's appetite)
計画を着々と進めている。
We're steadily moving the plan forward.
チーム全員で計画を順調に進めている。
I am advancing the plan smoothly.
議論を先に進めたいので本題に入ろう。
I'd like to move the discussion forward, so let's get to the main topic.