Finding the Fourth Proportional to 6,738.18, 10,108.88 and 2,578.12

Step by Step Solution

1. Step 1: Write the proportion equation
   6,738.18 : 10,108.88 = 2,578.12 : x
2. Step 2: Convert to fraction form
   6,738.18/10,108.88 = 2,578.12/x
3. Step 3: Cross multiply
   6,738.18x = 10,108.88 × 2,578.12
4. Step 4: Simplify right side
   6,738.18x = 26,061,905.71
5. Step 5: Solve for x
   x = 26,061,905.71/6,738.18
6. Step 6: Final answer
   x = 3,867.80