Finding the Fourth Proportional to 9,829.82, 13,563.92 and 5,581.31

Step by Step Solution

1. Step 1: Write the proportion equation
   9,829.82 : 13,563.92 = 5,581.31 : x
2. Step 2: Convert to fraction form
   9,829.82/13,563.92 = 5,581.31/x
3. Step 3: Cross multiply
   9,829.82x = 13,563.92 × 5,581.31
4. Step 4: Simplify right side
   9,829.82x = 75,704,388.47
5. Step 5: Solve for x
   x = 75,704,388.47/9,829.82
6. Step 6: Final answer
   x = 7,701.50