Finding the Fourth Proportional to 9,825.54, 14,738.24 and 3,982.06

Step by Step Solution

1. Step 1: Write the proportion equation
   9,825.54 : 14,738.24 = 3,982.06 : x
2. Step 2: Convert to fraction form
   9,825.54/14,738.24 = 3,982.06/x
3. Step 3: Cross multiply
   9,825.54x = 14,738.24 × 3,982.06
4. Step 4: Simplify right side
   9,825.54x = 58,688,555.97
5. Step 5: Solve for x
   x = 58,688,555.97/9,825.54
6. Step 6: Final answer
   x = 5,973.06