Finding the Fourth Proportional to 2,614.82, 3,922.76 and 765.99

Step by Step Solution

1. Step 1: Write the proportion equation
   2,614.82 : 3,922.76 = 765.99 : x
2. Step 2: Convert to fraction form
   2,614.82/3,922.76 = 765.99/x
3. Step 3: Cross multiply
   2,614.82x = 3,922.76 × 765.99
4. Step 4: Simplify right side
   2,614.82x = 3,004,796.85
5. Step 5: Solve for x
   x = 3,004,796.85/2,614.82
6. Step 6: Final answer
   x = 1,149.14