Finding the Fourth Proportional to 2,409.15, 3,612.45 and 765.27

Step by Step Solution

1. Step 1: Write the proportion equation
   2,409.15 : 3,612.45 = 765.27 : x
2. Step 2: Convert to fraction form
   2,409.15/3,612.45 = 765.27/x
3. Step 3: Cross multiply
   2,409.15x = 3,612.45 × 765.27
4. Step 4: Simplify right side
   2,409.15x = 2,764,499.61
5. Step 5: Solve for x
   x = 2,764,499.61/2,409.15
6. Step 6: Final answer
   x = 1,147.50