Finding the Fourth Proportional to 1,009.13, 1,392.61 and 567.04

Step by Step Solution

1. Step 1: Write the proportion equation
   1,009.13 : 1,392.61 = 567.04 : x
2. Step 2: Convert to fraction form
   1,009.13/1,392.61 = 567.04/x
3. Step 3: Cross multiply
   1,009.13x = 1,392.61 × 567.04
4. Step 4: Simplify right side
   1,009.13x = 789,665.57
5. Step 5: Solve for x
   x = 789,665.57/1,009.13
6. Step 6: Final answer
   x = 782.52