Finding the Fourth Proportional to 10,266.08, 14,167.15 and 5,789.80

Step by Step Solution

1. Step 1: Write the proportion equation
   10,266.08 : 14,167.15 = 5,789.80 : x
2. Step 2: Convert to fraction form
   10,266.08/14,167.15 = 5,789.80/x
3. Step 3: Cross multiply
   10,266.08x = 14,167.15 × 5,789.80
4. Step 4: Simplify right side
   10,266.08x = 82,025,040.72
5. Step 5: Solve for x
   x = 82,025,040.72/10,266.08
6. Step 6: Final answer
   x = 7,989.91