Finding the Fourth Proportional to 17,784.86, 24,542.74 and 9,827

Step by Step Solution

1. Step 1: Write the proportion equation
   17,784.86 : 24,542.74 = 9,827 : x
2. Step 2: Convert to fraction form
   17,784.86/24,542.74 = 9,827/x
3. Step 3: Cross multiply
   17,784.86x = 24,542.74 × 9,827
4. Step 4: Simplify right side
   17,784.86x = 241,181,505.98
5. Step 5: Solve for x
   x = 241,181,505.98/17,784.86
6. Step 6: Final answer
   x = 13,561.06