Finding the Fourth Proportional to 6,105.38, 8,399.90 and 5,440.77

Step by Step Solution

1. Step 1: Write the proportion equation
   6,105.38 : 8,399.90 = 5,440.77 : x
2. Step 2: Convert to fraction form
   6,105.38/8,399.90 = 5,440.77/x
3. Step 3: Cross multiply
   6,105.38x = 8,399.90 × 5,440.77
4. Step 4: Simplify right side
   6,105.38x = 45,701,937.52
5. Step 5: Solve for x
   x = 45,701,937.52/6,105.38
6. Step 6: Final answer
   x = 7,485.53