Finding the Fourth Proportional to 9,257.38, 12,774.25 and 5,278.27

Step by Step Solution

1. Step 1: Write the proportion equation
   9,257.38 : 12,774.25 = 5,278.27 : x
2. Step 2: Convert to fraction form
   9,257.38/12,774.25 = 5,278.27/x
3. Step 3: Cross multiply
   9,257.38x = 12,774.25 × 5,278.27
4. Step 4: Simplify right side
   9,257.38x = 67,425,940.55
5. Step 5: Solve for x
   x = 67,425,940.55/9,257.38
6. Step 6: Final answer
   x = 7,283.48