Finding the Fourth Proportional to 17,819.88, 24,593.27 and 10,266.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,819.88 : 24,593.27 = 10,266.50 : x
2. Step 2: Convert to fraction form
   17,819.88/24,593.27 = 10,266.50/x
3. Step 3: Cross multiply
   17,819.88x = 24,593.27 × 10,266.50
4. Step 4: Simplify right side
   17,819.88x = 252,486,632.16
5. Step 5: Solve for x
   x = 252,486,632.16/17,819.88
6. Step 6: Final answer
   x = 14,168.82