Finding the Fourth Proportional to 1,499.12, 2,249.20 and 769.24

Step by Step Solution

1. Step 1: Write the proportion equation
   1,499.12 : 2,249.20 = 769.24 : x
2. Step 2: Convert to fraction form
   1,499.12/2,249.20 = 769.24/x
3. Step 3: Cross multiply
   1,499.12x = 2,249.20 × 769.24
4. Step 4: Simplify right side
   1,499.12x = 1,730,174.61
5. Step 5: Solve for x
   x = 1,730,174.61/1,499.12
6. Step 6: Final answer
   x = 1,154.13