Finding the Fourth Proportional to 9,825.42, 14,737.68 and 3,982.08

Step by Step Solution

1. Step 1: Write the proportion equation
   9,825.42 : 14,737.68 = 3,982.08 : x
2. Step 2: Convert to fraction form
   9,825.42/14,737.68 = 3,982.08/x
3. Step 3: Cross multiply
   9,825.42x = 14,737.68 × 3,982.08
4. Step 4: Simplify right side
   9,825.42x = 58,686,620.77
5. Step 5: Solve for x
   x = 58,686,620.77/9,825.42
6. Step 6: Final answer
   x = 5,972.94