Finding the Fourth Proportional to 9,825.88, 14,738.78 and 3,982.47

Step by Step Solution

1. Step 1: Write the proportion equation
   9,825.88 : 14,738.78 = 3,982.47 : x
2. Step 2: Convert to fraction form
   9,825.88/14,738.78 = 3,982.47/x
3. Step 3: Cross multiply
   9,825.88x = 14,738.78 × 3,982.47
4. Step 4: Simplify right side
   9,825.88x = 58,696,759.14
5. Step 5: Solve for x
   x = 58,696,759.14/9,825.88
6. Step 6: Final answer
   x = 5,973.69