Finding the Fourth Proportional to 2,878.08, 3,978.82 and 2,851.76

Step by Step Solution

1. Step 1: Write the proportion equation
   2,878.08 : 3,978.82 = 2,851.76 : x
2. Step 2: Convert to fraction form
   2,878.08/3,978.82 = 2,851.76/x
3. Step 3: Cross multiply
   2,878.08x = 3,978.82 × 2,851.76
4. Step 4: Simplify right side
   2,878.08x = 11,346,639.72
5. Step 5: Solve for x
   x = 11,346,639.72/2,878.08
6. Step 6: Final answer
   x = 3,942.43