Finding the Fourth Proportional to 6,978.38, 10,471.16 and 3,857.80

Step by Step Solution

1. Step 1: Write the proportion equation
   6,978.38 : 10,471.16 = 3,857.80 : x
2. Step 2: Convert to fraction form
   6,978.38/10,471.16 = 3,857.80/x
3. Step 3: Cross multiply
   6,978.38x = 10,471.16 × 3,857.80
4. Step 4: Simplify right side
   6,978.38x = 40,395,641.05
5. Step 5: Solve for x
   x = 40,395,641.05/6,978.38
6. Step 6: Final answer
   x = 5,788.68