Finding the Fourth Proportional to 10,158.72, 14,018.92 and 5,682.40

Step by Step Solution

1. Step 1: Write the proportion equation
   10,158.72 : 14,018.92 = 5,682.40 : x
2. Step 2: Convert to fraction form
   10,158.72/14,018.92 = 5,682.40/x
3. Step 3: Cross multiply
   10,158.72x = 14,018.92 × 5,682.40
4. Step 4: Simplify right side
   10,158.72x = 79,661,111.01
5. Step 5: Solve for x
   x = 79,661,111.01/10,158.72
6. Step 6: Final answer
   x = 7,841.65