Return last populated cell from column to the left until next populated cell occurs

I hope that title makes sense! Even reading it back it sounds a bit overly cryptic.

I have a column (K) with numbers in there every now and again and I would like column L to populate with the value that most recently occurred.

An example will hopefully explain much better :

This is what I have:
before.jpg

This is what I'd like:
after.jpg

Just in case it makes a difference the value in column K is the result of an IF formula to return non blanks from another column.

Thanks in advance for your help