Finding the Fourth Proportional to 6,854.41, 9,459.35 and 3,870.57

Step by Step Solution

1. Step 1: Write the proportion equation
   6,854.41 : 9,459.35 = 3,870.57 : x
2. Step 2: Convert to fraction form
   6,854.41/9,459.35 = 3,870.57/x
3. Step 3: Cross multiply
   6,854.41x = 9,459.35 × 3,870.57
4. Step 4: Simplify right side
   6,854.41x = 36,613,076.33
5. Step 5: Solve for x
   x = 36,613,076.33/6,854.41
6. Step 6: Final answer
   x = 5,341.54