Finding the Fourth Proportional to 17,782.04, 24,538.56 and 9,824.60

Step by Step Solution

1. Step 1: Write the proportion equation
   17,782.04 : 24,538.56 = 9,824.60 : x
2. Step 2: Convert to fraction form
   17,782.04/24,538.56 = 9,824.60/x
3. Step 3: Cross multiply
   17,782.04x = 24,538.56 × 9,824.60
4. Step 4: Simplify right side
   17,782.04x = 241,081,536.58
5. Step 5: Solve for x
   x = 241,081,536.58/17,782.04
6. Step 6: Final answer
   x = 13,557.59