Finding the Fourth Proportional to 9,825.83, 14,744.82 and 3,982.49

Step by Step Solution

1. Step 1: Write the proportion equation
   9,825.83 : 14,744.82 = 3,982.49 : x
2. Step 2: Convert to fraction form
   9,825.83/14,744.82 = 3,982.49/x
3. Step 3: Cross multiply
   9,825.83x = 14,744.82 × 3,982.49
4. Step 4: Simplify right side
   9,825.83x = 58,721,024.48
5. Step 5: Solve for x
   x = 58,721,024.48/9,825.83
6. Step 6: Final answer
   x = 5,976.19