Finding the Fourth Proportional to 9,878.40, 14,815.37 and 2,856.85

Step by Step Solution

1. Step 1: Write the proportion equation
   9,878.40 : 14,815.37 = 2,856.85 : x
2. Step 2: Convert to fraction form
   9,878.40/14,815.37 = 2,856.85/x
3. Step 3: Cross multiply
   9,878.40x = 14,815.37 × 2,856.85
4. Step 4: Simplify right side
   9,878.40x = 42,325,289.78
5. Step 5: Solve for x
   x = 42,325,289.78/9,878.40
6. Step 6: Final answer
   x = 4,284.63