Finding the Fourth Proportional to 14,162.10, 19,549 and 10,635.50

Step by Step Solution

1. Step 1: Write the proportion equation
   14,162.10 : 19,549 = 10,635.50 : x
2. Step 2: Convert to fraction form
   14,162.10/19,549 = 10,635.50/x
3. Step 3: Cross multiply
   14,162.10x = 19,549 × 10,635.50
4. Step 4: Simplify right side
   14,162.10x = 207,913,389.50
5. Step 5: Solve for x
   x = 207,913,389.50/14,162.10
6. Step 6: Final answer
   x = 14,680.97