Finding the Fourth Proportional to 17,784.84, 24,542.42 and 9,826.90

Step by Step Solution

1. Step 1: Write the proportion equation
   17,784.84 : 24,542.42 = 9,826.90 : x
2. Step 2: Convert to fraction form
   17,784.84/24,542.42 = 9,826.90/x
3. Step 3: Cross multiply
   17,784.84x = 24,542.42 × 9,826.90
4. Step 4: Simplify right side
   17,784.84x = 241,175,907.10
5. Step 5: Solve for x
   x = 241,175,907.10/17,784.84
6. Step 6: Final answer
   x = 13,560.76