Finding the Fourth Proportional to 17,782.79, 24,538.16 and 9,824.54

Step by Step Solution

1. Step 1: Write the proportion equation
   17,782.79 : 24,538.16 = 9,824.54 : x
2. Step 2: Convert to fraction form
   17,782.79/24,538.16 = 9,824.54/x
3. Step 3: Cross multiply
   17,782.79x = 24,538.16 × 9,824.54
4. Step 4: Simplify right side
   17,782.79x = 241,076,134.45
5. Step 5: Solve for x
   x = 241,076,134.45/17,782.79
6. Step 6: Final answer
   x = 13,556.71