Finding the Fourth Proportional to 1,127.32, 1,691.48 and 510.91

Step by Step Solution

1. Step 1: Write the proportion equation
   1,127.32 : 1,691.48 = 510.91 : x
2. Step 2: Convert to fraction form
   1,127.32/1,691.48 = 510.91/x
3. Step 3: Cross multiply
   1,127.32x = 1,691.48 × 510.91
4. Step 4: Simplify right side
   1,127.32x = 864,191.10
5. Step 5: Solve for x
   x = 864,191.10/1,127.32
6. Step 6: Final answer
   x = 766.59