Finding the Fourth Proportional to 825.43, 1,139.33 and 510.72

Step by Step Solution

1. Step 1: Write the proportion equation
   825.43 : 1,139.33 = 510.72 : x
2. Step 2: Convert to fraction form
   825.43/1,139.33 = 510.72/x
3. Step 3: Cross multiply
   825.43x = 1,139.33 × 510.72
4. Step 4: Simplify right side
   825.43x = 581,878.62
5. Step 5: Solve for x
   x = 581,878.62/825.43
6. Step 6: Final answer
   x = 704.94