Finding the Fourth Proportional to 2,308.78, 3,463.14 and 769.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,308.78 : 3,463.14 = 769.78 : x
2. Step 2: Convert to fraction form
   2,308.78/3,463.14 = 769.78/x
3. Step 3: Cross multiply
   2,308.78x = 3,463.14 × 769.78
4. Step 4: Simplify right side
   2,308.78x = 2,665,855.91
5. Step 5: Solve for x
   x = 2,665,855.91/2,308.78
6. Step 6: Final answer
   x = 1,154.66