Finding the Fourth Proportional to 3,922.94, 5,406.27 and 3,825.74

Step by Step Solution

1. Step 1: Write the proportion equation
   3,922.94 : 5,406.27 = 3,825.74 : x
2. Step 2: Convert to fraction form
   3,922.94/5,406.27 = 3,825.74/x
3. Step 3: Cross multiply
   3,922.94x = 5,406.27 × 3,825.74
4. Step 4: Simplify right side
   3,922.94x = 20,682,983.39
5. Step 5: Solve for x
   x = 20,682,983.39/3,922.94
6. Step 6: Final answer
   x = 5,272.32