Finding the Fourth Proportional to 6,878.57, 9,492.37 and 3,734.78

Step by Step Solution

1. Step 1: Write the proportion equation
   6,878.57 : 9,492.37 = 3,734.78 : x
2. Step 2: Convert to fraction form
   6,878.57/9,492.37 = 3,734.78/x
3. Step 3: Cross multiply
   6,878.57x = 9,492.37 × 3,734.78
4. Step 4: Simplify right side
   6,878.57x = 35,451,856.83
5. Step 5: Solve for x
   x = 35,451,856.83/6,878.57
6. Step 6: Final answer
   x = 5,153.96