Finding the Fourth Proportional to 7,414.38, 10,227.40 and 4,896.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,414.38 : 10,227.40 = 4,896.50 : x
2. Step 2: Convert to fraction form
   7,414.38/10,227.40 = 4,896.50/x
3. Step 3: Cross multiply
   7,414.38x = 10,227.40 × 4,896.50
4. Step 4: Simplify right side
   7,414.38x = 50,078,400.72
5. Step 5: Solve for x
   x = 50,078,400.72/7,414.38
6. Step 6: Final answer
   x = 6,754.23