Finding the Fourth Proportional to 3,982.06, 5,942.98 and 3,878.38

Step by Step Solution

1. Step 1: Write the proportion equation
   3,982.06 : 5,942.98 = 3,878.38 : x
2. Step 2: Convert to fraction form
   3,982.06/5,942.98 = 3,878.38/x
3. Step 3: Cross multiply
   3,982.06x = 5,942.98 × 3,878.38
4. Step 4: Simplify right side
   3,982.06x = 23,049,134.77
5. Step 5: Solve for x
   x = 23,049,134.77/3,982.06
6. Step 6: Final answer
   x = 5,788.24