Finding the Fourth Proportional to 17,623, 24,317.50 and 9,663.14

Step by Step Solution

1. Step 1: Write the proportion equation
   17,623 : 24,317.50 = 9,663.14 : x
2. Step 2: Convert to fraction form
   17,623/24,317.50 = 9,663.14/x
3. Step 3: Cross multiply
   17,623x = 24,317.50 × 9,663.14
4. Step 4: Simplify right side
   17,623x = 234,983,406.95
5. Step 5: Solve for x
   x = 234,983,406.95/17,623
6. Step 6: Final answer
   x = 13,333.90