Race Comment Explainer

Original comment with matches highlighted:

towards rear, pushed along over 4f out, 2f out, went 3rd over 1f out,

Matched phrases & meanings

Phrase	Meaning
Pushed along	The jockey started to urge the horse (hand-riding, not necessarily using the whip).
Towards rear	Running near the back of the field.
Kept on	The horse maintained its speed well to the finish.
Headway	The horse was moving up through the field.

Summary

The jockey started to urge the horse (hand-riding, not necessarily using the whip).
Running near the back of the field.
The horse maintained its speed well to the finish.
The horse was moving up through the field.