Finding the Fourth Proportional to 2,614.86, 3,922.32 and 766.01

Step by Step Solution

1. Step 1: Write the proportion equation
   2,614.86 : 3,922.32 = 766.01 : x
2. Step 2: Convert to fraction form
   2,614.86/3,922.32 = 766.01/x
3. Step 3: Cross multiply
   2,614.86x = 3,922.32 × 766.01
4. Step 4: Simplify right side
   2,614.86x = 3,004,516.73
5. Step 5: Solve for x
   x = 3,004,516.73/2,614.86
6. Step 6: Final answer
   x = 1,149.02