Finding the Fourth Proportional to 10,447.35, 15,677.16 and 3,878.10

Step by Step Solution

1. Step 1: Write the proportion equation
   10,447.35 : 15,677.16 = 3,878.10 : x
2. Step 2: Convert to fraction form
   10,447.35/15,677.16 = 3,878.10/x
3. Step 3: Cross multiply
   10,447.35x = 15,677.16 × 3,878.10
4. Step 4: Simplify right side
   10,447.35x = 60,797,594.20
5. Step 5: Solve for x
   x = 60,797,594.20/10,447.35
6. Step 6: Final answer
   x = 5,819.43