Finding the Fourth Proportional to 17,824.23, 24,594.17 and 10,269.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,824.23 : 24,594.17 = 10,269.50 : x
2. Step 2: Convert to fraction form
   17,824.23/24,594.17 = 10,269.50/x
3. Step 3: Cross multiply
   17,824.23x = 24,594.17 × 10,269.50
4. Step 4: Simplify right side
   17,824.23x = 252,569,654.50
5. Step 5: Solve for x
   x = 252,569,654.50/17,824.23
6. Step 6: Final answer
   x = 14,170.02