Finding the Fourth Proportional to 10,266.09, 14,166.92 and 5,789.81

Step by Step Solution

1. Step 1: Write the proportion equation
   10,266.09 : 14,166.92 = 5,789.81 : x
2. Step 2: Convert to fraction form
   10,266.09/14,166.92 = 5,789.81/x
3. Step 3: Cross multiply
   10,266.09x = 14,166.92 × 5,789.81
4. Step 4: Simplify right side
   10,266.09x = 82,023,775.09
5. Step 5: Solve for x
   x = 82,023,775.09/10,266.09
6. Step 6: Final answer
   x = 7,989.78