Finding the Fourth Proportional to 1,033.14, 1,425.78 and 567.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,033.14 : 1,425.78 = 567.42 : x
2. Step 2: Convert to fraction form
   1,033.14/1,425.78 = 567.42/x
3. Step 3: Cross multiply
   1,033.14x = 1,425.78 × 567.42
4. Step 4: Simplify right side
   1,033.14x = 809,016.09
5. Step 5: Solve for x
   x = 809,016.09/1,033.14
6. Step 6: Final answer
   x = 783.07