Finding the Fourth Proportional to 6,410.71, 9,616.02 and 3,878.31

Step by Step Solution

1. Step 1: Write the proportion equation
   6,410.71 : 9,616.02 = 3,878.31 : x
2. Step 2: Convert to fraction form
   6,410.71/9,616.02 = 3,878.31/x
3. Step 3: Cross multiply
   6,410.71x = 9,616.02 × 3,878.31
4. Step 4: Simplify right side
   6,410.71x = 37,293,928.04
5. Step 5: Solve for x
   x = 37,293,928.04/6,410.71
6. Step 6: Final answer
   x = 5,817.44