Finding the Fourth Proportional to 3,906.11, 5,854.10 and 2,978.25

Step by Step Solution

1. Step 1: Write the proportion equation
   3,906.11 : 5,854.10 = 2,978.25 : x
2. Step 2: Convert to fraction form
   3,906.11/5,854.10 = 2,978.25/x
3. Step 3: Cross multiply
   3,906.11x = 5,854.10 × 2,978.25
4. Step 4: Simplify right side
   3,906.11x = 17,434,958.43
5. Step 5: Solve for x
   x = 17,434,958.43/3,906.11
6. Step 6: Final answer
   x = 4,463.52