Finding the Fourth Proportional to 17,648.80, 24,355.77 and 9,582.80

Step by Step Solution

1. Step 1: Write the proportion equation
   17,648.80 : 24,355.77 = 9,582.80 : x
2. Step 2: Convert to fraction form
   17,648.80/24,355.77 = 9,582.80/x
3. Step 3: Cross multiply
   17,648.80x = 24,355.77 × 9,582.80
4. Step 4: Simplify right side
   17,648.80x = 233,396,303.06
5. Step 5: Solve for x
   x = 233,396,303.06/17,648.80
6. Step 6: Final answer
   x = 13,224.49