Finding the Fourth Proportional to 10,166.05, 14,025.95 and 5,689.09

Step by Step Solution

1. Step 1: Write the proportion equation
   10,166.05 : 14,025.95 = 5,689.09 : x
2. Step 2: Convert to fraction form
   10,166.05/14,025.95 = 5,689.09/x
3. Step 3: Cross multiply
   10,166.05x = 14,025.95 × 5,689.09
4. Step 4: Simplify right side
   10,166.05x = 79,794,849.71
5. Step 5: Solve for x
   x = 79,794,849.71/10,166.05
6. Step 6: Final answer
   x = 7,849.15