Finding the Fourth Proportional to 6,942.08, 10,401.42 and 3,427.40

Step by Step Solution

1. Step 1: Write the proportion equation
   6,942.08 : 10,401.42 = 3,427.40 : x
2. Step 2: Convert to fraction form
   6,942.08/10,401.42 = 3,427.40/x
3. Step 3: Cross multiply
   6,942.08x = 10,401.42 × 3,427.40
4. Step 4: Simplify right side
   6,942.08x = 35,649,826.91
5. Step 5: Solve for x
   x = 35,649,826.91/6,942.08
6. Step 6: Final answer
   x = 5,135.32