Finding the Fourth Proportional to 1,131.31, 1,697.49 and 514.90

Step by Step Solution

1. Step 1: Write the proportion equation
   1,131.31 : 1,697.49 = 514.90 : x
2. Step 2: Convert to fraction form
   1,131.31/1,697.49 = 514.90/x
3. Step 3: Cross multiply
   1,131.31x = 1,697.49 × 514.90
4. Step 4: Simplify right side
   1,131.31x = 874,037.60
5. Step 5: Solve for x
   x = 874,037.60/1,131.31
6. Step 6: Final answer
   x = 772.59