Finding the Fourth Proportional to 6,876.78, 10,314.69 and 3,414.06

Step by Step Solution

1. Step 1: Write the proportion equation
   6,876.78 : 10,314.69 = 3,414.06 : x
2. Step 2: Convert to fraction form
   6,876.78/10,314.69 = 3,414.06/x
3. Step 3: Cross multiply
   6,876.78x = 10,314.69 × 3,414.06
4. Step 4: Simplify right side
   6,876.78x = 35,214,970.54
5. Step 5: Solve for x
   x = 35,214,970.54/6,876.78
6. Step 6: Final answer
   x = 5,120.85