Finding the Fourth Proportional to 17,781.26, 24,538.06 and 9,823.49

Step by Step Solution

1. Step 1: Write the proportion equation
   17,781.26 : 24,538.06 = 9,823.49 : x
2. Step 2: Convert to fraction form
   17,781.26/24,538.06 = 9,823.49/x
3. Step 3: Cross multiply
   17,781.26x = 24,538.06 × 9,823.49
4. Step 4: Simplify right side
   17,781.26x = 241,049,387.03
5. Step 5: Solve for x
   x = 241,049,387.03/17,781.26
6. Step 6: Final answer
   x = 13,556.37