Finding the Fourth Proportional to 1,131.29, 1,697.51 and 514.91

Step by Step Solution

1. Step 1: Write the proportion equation
   1,131.29 : 1,697.51 = 514.91 : x
2. Step 2: Convert to fraction form
   1,131.29/1,697.51 = 514.91/x
3. Step 3: Cross multiply
   1,131.29x = 1,697.51 × 514.91
4. Step 4: Simplify right side
   1,131.29x = 874,070.41
5. Step 5: Solve for x
   x = 874,070.41/1,131.29
6. Step 6: Final answer
   x = 772.63