Finding the Fourth Proportional to 6,382.27, 8,811.89 and 5,206.15

Step by Step Solution

1. Step 1: Write the proportion equation
   6,382.27 : 8,811.89 = 5,206.15 : x
2. Step 2: Convert to fraction form
   6,382.27/8,811.89 = 5,206.15/x
3. Step 3: Cross multiply
   6,382.27x = 8,811.89 × 5,206.15
4. Step 4: Simplify right side
   6,382.27x = 45,876,021.12
5. Step 5: Solve for x
   x = 45,876,021.12/6,382.27
6. Step 6: Final answer
   x = 7,188.04