Finding the Fourth Proportional to 1,499.85, 2,249.42 and 769.05

Step by Step Solution

1. Step 1: Write the proportion equation
   1,499.85 : 2,249.42 = 769.05 : x
2. Step 2: Convert to fraction form
   1,499.85/2,249.42 = 769.05/x
3. Step 3: Cross multiply
   1,499.85x = 2,249.42 × 769.05
4. Step 4: Simplify right side
   1,499.85x = 1,729,912.61
5. Step 5: Solve for x
   x = 1,729,912.61/1,499.85
6. Step 6: Final answer
   x = 1,153.39