Finding the Fourth Proportional to 10,682.78, 14,742.18 and 5,967.02

Step by Step Solution

1. Step 1: Write the proportion equation
   10,682.78 : 14,742.18 = 5,967.02 : x
2. Step 2: Convert to fraction form
   10,682.78/14,742.18 = 5,967.02/x
3. Step 3: Cross multiply
   10,682.78x = 14,742.18 × 5,967.02
4. Step 4: Simplify right side
   10,682.78x = 87,966,882.90
5. Step 5: Solve for x
   x = 87,966,882.90/10,682.78
6. Step 6: Final answer
   x = 8,234.46