Finding the Fourth Proportional to 17,781.30, 24,538.23 and 9,823.55

Step by Step Solution

1. Step 1: Write the proportion equation
   17,781.30 : 24,538.23 = 9,823.55 : x
2. Step 2: Convert to fraction form
   17,781.30/24,538.23 = 9,823.55/x
3. Step 3: Cross multiply
   17,781.30x = 24,538.23 × 9,823.55
4. Step 4: Simplify right side
   17,781.30x = 241,052,406.63
5. Step 5: Solve for x
   x = 241,052,406.63/17,781.30
6. Step 6: Final answer
   x = 13,556.51