Finding the Fourth Proportional to 5,155.11, 7,733.27 and 3,864.78

Step by Step Solution

1. Step 1: Write the proportion equation
   5,155.11 : 7,733.27 = 3,864.78 : x
2. Step 2: Convert to fraction form
   5,155.11/7,733.27 = 3,864.78/x
3. Step 3: Cross multiply
   5,155.11x = 7,733.27 × 3,864.78
4. Step 4: Simplify right side
   5,155.11x = 29,887,396.89
5. Step 5: Solve for x
   x = 29,887,396.89/5,155.11
6. Step 6: Final answer
   x = 5,797.63