Finding the Fourth Proportional to 6,738.10, 10,103.10 and 2,578.42

Step by Step Solution

1. Step 1: Write the proportion equation
   6,738.10 : 10,103.10 = 2,578.42 : x
2. Step 2: Convert to fraction form
   6,738.10/10,103.10 = 2,578.42/x
3. Step 3: Cross multiply
   6,738.10x = 10,103.10 × 2,578.42
4. Step 4: Simplify right side
   6,738.10x = 26,050,035.10
5. Step 5: Solve for x
   x = 26,050,035.10/6,738.10
6. Step 6: Final answer
   x = 3,866.08