Finding the Fourth Proportional to 2,410.52, 3,614.56 and 766.60

Step by Step Solution

1. Step 1: Write the proportion equation
   2,410.52 : 3,614.56 = 766.60 : x
2. Step 2: Convert to fraction form
   2,410.52/3,614.56 = 766.60/x
3. Step 3: Cross multiply
   2,410.52x = 3,614.56 × 766.60
4. Step 4: Simplify right side
   2,410.52x = 2,770,921.70
5. Step 5: Solve for x
   x = 2,770,921.70/2,410.52
6. Step 6: Final answer
   x = 1,149.51