Finding the Fourth Proportional to 10,724.16, 16,096.05 and 5,462.82

Step by Step Solution

1. Step 1: Write the proportion equation
   10,724.16 : 16,096.05 = 5,462.82 : x
2. Step 2: Convert to fraction form
   10,724.16/16,096.05 = 5,462.82/x
3. Step 3: Cross multiply
   10,724.16x = 16,096.05 × 5,462.82
4. Step 4: Simplify right side
   10,724.16x = 87,929,823.86
5. Step 5: Solve for x
   x = 87,929,823.86/10,724.16
6. Step 6: Final answer
   x = 8,199.23