Finding the Fourth Proportional to 2,614.95, 3,922.49 and 765.87

Step by Step Solution

1. Step 1: Write the proportion equation
   2,614.95 : 3,922.49 = 765.87 : x
2. Step 2: Convert to fraction form
   2,614.95/3,922.49 = 765.87/x
3. Step 3: Cross multiply
   2,614.95x = 3,922.49 × 765.87
4. Step 4: Simplify right side
   2,614.95x = 3,004,117.42
5. Step 5: Solve for x
   x = 3,004,117.42/2,614.95
6. Step 6: Final answer
   x = 1,148.82