Finding the Fourth Proportional to 17,738.25, 24,478.52 and 9,780.27

Step by Step Solution

1. Step 1: Write the proportion equation
   17,738.25 : 24,478.52 = 9,780.27 : x
2. Step 2: Convert to fraction form
   17,738.25/24,478.52 = 9,780.27/x
3. Step 3: Cross multiply
   17,738.25x = 24,478.52 × 9,780.27
4. Step 4: Simplify right side
   17,738.25x = 239,406,485.90
5. Step 5: Solve for x
   x = 239,406,485.90/17,738.25
6. Step 6: Final answer
   x = 13,496.62