Finding the Fourth Proportional to 2,614.59, 3,921.60 and 765.72

Step by Step Solution

1. Step 1: Write the proportion equation
   2,614.59 : 3,921.60 = 765.72 : x
2. Step 2: Convert to fraction form
   2,614.59/3,921.60 = 765.72/x
3. Step 3: Cross multiply
   2,614.59x = 3,921.60 × 765.72
4. Step 4: Simplify right side
   2,614.59x = 3,002,847.55
5. Step 5: Solve for x
   x = 3,002,847.55/2,614.59
6. Step 6: Final answer
   x = 1,148.50