Finding the Fourth Proportional to 1,009.38, 1,392.96 and 567.29

Step by Step Solution

1. Step 1: Write the proportion equation
   1,009.38 : 1,392.96 = 567.29 : x
2. Step 2: Convert to fraction form
   1,009.38/1,392.96 = 567.29/x
3. Step 3: Cross multiply
   1,009.38x = 1,392.96 × 567.29
4. Step 4: Simplify right side
   1,009.38x = 790,205.31
5. Step 5: Solve for x
   x = 790,205.31/1,009.38
6. Step 6: Final answer
   x = 782.86