Finding the Fourth Proportional to 2,410.54, 3,616.17 and 766.60

Step by Step Solution

1. Step 1: Write the proportion equation
   2,410.54 : 3,616.17 = 766.60 : x
2. Step 2: Convert to fraction form
   2,410.54/3,616.17 = 766.60/x
3. Step 3: Cross multiply
   2,410.54x = 3,616.17 × 766.60
4. Step 4: Simplify right side
   2,410.54x = 2,772,155.92
5. Step 5: Solve for x
   x = 2,772,155.92/2,410.54
6. Step 6: Final answer
   x = 1,150.01