Finding the Fourth Proportional to 6,854.22, 9,458.37 and 3,870.05

Step by Step Solution

1. Step 1: Write the proportion equation
   6,854.22 : 9,458.37 = 3,870.05 : x
2. Step 2: Convert to fraction form
   6,854.22/9,458.37 = 3,870.05/x
3. Step 3: Cross multiply
   6,854.22x = 9,458.37 × 3,870.05
4. Step 4: Simplify right side
   6,854.22x = 36,604,317.53
5. Step 5: Solve for x
   x = 36,604,317.53/6,854.22
6. Step 6: Final answer
   x = 5,340.41