Finding the Fourth Proportional to 3,906.54, 5,857.98 and 3,164.31

Step by Step Solution

1. Step 1: Write the proportion equation
   3,906.54 : 5,857.98 = 3,164.31 : x
2. Step 2: Convert to fraction form
   3,906.54/5,857.98 = 3,164.31/x
3. Step 3: Cross multiply
   3,906.54x = 5,857.98 × 3,164.31
4. Step 4: Simplify right side
   3,906.54x = 18,536,464.69
5. Step 5: Solve for x
   x = 18,536,464.69/3,906.54
6. Step 6: Final answer
   x = 4,744.98