Finding the Fourth Proportional to 17,688, 24,406.16 and 10,520.30

Step by Step Solution

1. Step 1: Write the proportion equation
   17,688 : 24,406.16 = 10,520.30 : x
2. Step 2: Convert to fraction form
   17,688/24,406.16 = 10,520.30/x
3. Step 3: Cross multiply
   17,688x = 24,406.16 × 10,520.30
4. Step 4: Simplify right side
   17,688x = 256,760,125.05
5. Step 5: Solve for x
   x = 256,760,125.05/17,688
6. Step 6: Final answer
   x = 14,516.06