Finding the Fourth Proportional to 10,872.09, 16,216.76 and 9,875.49

Step by Step Solution

1. Step 1: Write the proportion equation
   10,872.09 : 16,216.76 = 9,875.49 : x
2. Step 2: Convert to fraction form
   10,872.09/16,216.76 = 9,875.49/x
3. Step 3: Cross multiply
   10,872.09x = 16,216.76 × 9,875.49
4. Step 4: Simplify right side
   10,872.09x = 160,148,401.83
5. Step 5: Solve for x
   x = 160,148,401.83/10,872.09
6. Step 6: Final answer
   x = 14,730.23