Finding the Fourth Proportional to 10,166.20, 14,029.32 and 5,689.96

Step by Step Solution

1. Step 1: Write the proportion equation
   10,166.20 : 14,029.32 = 5,689.96 : x
2. Step 2: Convert to fraction form
   10,166.20/14,029.32 = 5,689.96/x
3. Step 3: Cross multiply
   10,166.20x = 14,029.32 × 5,689.96
4. Step 4: Simplify right side
   10,166.20x = 79,826,269.63
5. Step 5: Solve for x
   x = 79,826,269.63/10,166.20
6. Step 6: Final answer
   x = 7,852.12