Finding the Fourth Proportional to 1,033.12, 1,425.72 and 567.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,033.12 : 1,425.72 = 567.38 : x
2. Step 2: Convert to fraction form
   1,033.12/1,425.72 = 567.38/x
3. Step 3: Cross multiply
   1,033.12x = 1,425.72 × 567.38
4. Step 4: Simplify right side
   1,033.12x = 808,925.01
5. Step 5: Solve for x
   x = 808,925.01/1,033.12
6. Step 6: Final answer
   x = 782.99