Finding the Fourth Proportional to 17,781.80, 24,538.74 and 9,824.56

Step by Step Solution

1. Step 1: Write the proportion equation
   17,781.80 : 24,538.74 = 9,824.56 : x
2. Step 2: Convert to fraction form
   17,781.80/24,538.74 = 9,824.56/x
3. Step 3: Cross multiply
   17,781.80x = 24,538.74 × 9,824.56
4. Step 4: Simplify right side
   17,781.80x = 241,082,323.45
5. Step 5: Solve for x
   x = 241,082,323.45/17,781.80
6. Step 6: Final answer
   x = 13,557.81