Finding the Fourth Proportional to 5,424.78, 8,140.41 and 3,778.05

Step by Step Solution

1. Step 1: Write the proportion equation
   5,424.78 : 8,140.41 = 3,778.05 : x
2. Step 2: Convert to fraction form
   5,424.78/8,140.41 = 3,778.05/x
3. Step 3: Cross multiply
   5,424.78x = 8,140.41 × 3,778.05
4. Step 4: Simplify right side
   5,424.78x = 30,754,876.00
5. Step 5: Solve for x
   x = 30,754,876.00/5,424.78
6. Step 6: Final answer
   x = 5,669.33