Finding the Fourth Proportional to 1,131.24, 1,697.43 and 514.89

Step by Step Solution

1. Step 1: Write the proportion equation
   1,131.24 : 1,697.43 = 514.89 : x
2. Step 2: Convert to fraction form
   1,131.24/1,697.43 = 514.89/x
3. Step 3: Cross multiply
   1,131.24x = 1,697.43 × 514.89
4. Step 4: Simplify right side
   1,131.24x = 873,989.73
5. Step 5: Solve for x
   x = 873,989.73/1,131.24
6. Step 6: Final answer
   x = 772.59