Finding the Fourth Proportional to 17,623.37, 24,320.59 and 9,666

Step by Step Solution

1. Step 1: Write the proportion equation
   17,623.37 : 24,320.59 = 9,666 : x
2. Step 2: Convert to fraction form
   17,623.37/24,320.59 = 9,666/x
3. Step 3: Cross multiply
   17,623.37x = 24,320.59 × 9,666
4. Step 4: Simplify right side
   17,623.37x = 235,082,798.78
5. Step 5: Solve for x
   x = 235,082,798.78/17,623.37
6. Step 6: Final answer
   x = 13,339.26