Finding the Fourth Proportional to 10,158.22, 14,018.09 and 5,682.16

Step by Step Solution

1. Step 1: Write the proportion equation
   10,158.22 : 14,018.09 = 5,682.16 : x
2. Step 2: Convert to fraction form
   10,158.22/14,018.09 = 5,682.16/x
3. Step 3: Cross multiply
   10,158.22x = 14,018.09 × 5,682.16
4. Step 4: Simplify right side
   10,158.22x = 79,652,966.82
5. Step 5: Solve for x
   x = 79,652,966.82/10,158.22
6. Step 6: Final answer
   x = 7,841.23