Finding the Fourth Proportional to 10,158.82, 14,018.85 and 5,682.65

Step by Step Solution

1. Step 1: Write the proportion equation
   10,158.82 : 14,018.85 = 5,682.65 : x
2. Step 2: Convert to fraction form
   10,158.82/14,018.85 = 5,682.65/x
3. Step 3: Cross multiply
   10,158.82x = 14,018.85 × 5,682.65
4. Step 4: Simplify right side
   10,158.82x = 79,664,147.86
5. Step 5: Solve for x
   x = 79,664,147.86/10,158.82
6. Step 6: Final answer
   x = 7,841.87