Finding the Fourth Proportional to 1,499.34, 2,249.56 and 769.26

Step by Step Solution

1. Step 1: Write the proportion equation
   1,499.34 : 2,249.56 = 769.26 : x
2. Step 2: Convert to fraction form
   1,499.34/2,249.56 = 769.26/x
3. Step 3: Cross multiply
   1,499.34x = 2,249.56 × 769.26
4. Step 4: Simplify right side
   1,499.34x = 1,730,496.53
5. Step 5: Solve for x
   x = 1,730,496.53/1,499.34
6. Step 6: Final answer
   x = 1,154.17