Four children Andy, Benny, Candy and Diane each had some savings.
Benny had 1/3 of the total amount Candy and Diane had.
Diane had 1/4 of the total amount Benny and Candy had.
Andy had 1/5 of the total amount Benny, Candy and Diane had.
Candy had $1067.
How much was the total savings of all the four children?
(Modified from Chloe Phang's question)