Finding the Fourth Proportional to 10,159.10, 14,018.85 and 5,682.62

Step by Step Solution

1. Step 1: Write the proportion equation
   10,159.10 : 14,018.85 = 5,682.62 : x
2. Step 2: Convert to fraction form
   10,159.10/14,018.85 = 5,682.62/x
3. Step 3: Cross multiply
   10,159.10x = 14,018.85 × 5,682.62
4. Step 4: Simplify right side
   10,159.10x = 79,663,797.39
5. Step 5: Solve for x
   x = 79,663,797.39/10,159.10
6. Step 6: Final answer
   x = 7,841.62