Parent cell return Data based off of Children Data

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Hello,

I am trying to figure out how to put the following into a formula:

If values in any child rows include "In Progress" then populate parent as "In Progress",

otherwise...

If values in child rows do not include "In Progress" or Blank then populate parent as "Not Started".

otherwise...

If values in ALL child rows include "Complete" then populate parent as "Complete".

The column I am working in is a dropdown with 4 possible values mentioned above "Not Started", "In Progress", "Complete", "Awaiting Inspection."

Thank you.

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