Finding the Fourth Proportional to 10,288.27, 14,197.75 and 5,811.81

Step by Step Solution

1. Step 1: Write the proportion equation
   10,288.27 : 14,197.75 = 5,811.81 : x
2. Step 2: Convert to fraction form
   10,288.27/14,197.75 = 5,811.81/x
3. Step 3: Cross multiply
   10,288.27x = 14,197.75 × 5,811.81
4. Step 4: Simplify right side
   10,288.27x = 82,514,625.43
5. Step 5: Solve for x
   x = 82,514,625.43/10,288.27
6. Step 6: Final answer
   x = 8,020.26