Finding the Fourth Proportional to 10,166.13, 14,029.29 and 5,689.89

Step by Step Solution

1. Step 1: Write the proportion equation
   10,166.13 : 14,029.29 = 5,689.89 : x
2. Step 2: Convert to fraction form
   10,166.13/14,029.29 = 5,689.89/x
3. Step 3: Cross multiply
   10,166.13x = 14,029.29 × 5,689.89
4. Step 4: Simplify right side
   10,166.13x = 79,825,116.88
5. Step 5: Solve for x
   x = 79,825,116.88/10,166.13
6. Step 6: Final answer
   x = 7,852.07