Finding the Fourth Proportional to 1,151.62, 1,728.24 and 786.76

Step by Step Solution

1. Step 1: Write the proportion equation
   1,151.62 : 1,728.24 = 786.76 : x
2. Step 2: Convert to fraction form
   1,151.62/1,728.24 = 786.76/x
3. Step 3: Cross multiply
   1,151.62x = 1,728.24 × 786.76
4. Step 4: Simplify right side
   1,151.62x = 1,359,710.10
5. Step 5: Solve for x
   x = 1,359,710.10/1,151.62
6. Step 6: Final answer
   x = 1,180.69