Finding the Fourth Proportional to 2,614.86, 3,922.67 and 765.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,614.86 : 3,922.67 = 765.75 : x
2. Step 2: Convert to fraction form
   2,614.86/3,922.67 = 765.75/x
3. Step 3: Cross multiply
   2,614.86x = 3,922.67 × 765.75
4. Step 4: Simplify right side
   2,614.86x = 3,003,784.55
5. Step 5: Solve for x
   x = 3,003,784.55/2,614.86
6. Step 6: Final answer
   x = 1,148.74