Finding the Fourth Proportional to 1,009.20, 1,392.72 and 567.12

Step by Step Solution

1. Step 1: Write the proportion equation
   1,009.20 : 1,392.72 = 567.12 : x
2. Step 2: Convert to fraction form
   1,009.20/1,392.72 = 567.12/x
3. Step 3: Cross multiply
   1,009.20x = 1,392.72 × 567.12
4. Step 4: Simplify right side
   1,009.20x = 789,839.37
5. Step 5: Solve for x
   x = 789,839.37/1,009.20
6. Step 6: Final answer
   x = 782.64