Finding the Fourth Proportional to 9,257.67, 12,775.61 and 5,278.82

Step by Step Solution

1. Step 1: Write the proportion equation
   9,257.67 : 12,775.61 = 5,278.82 : x
2. Step 2: Convert to fraction form
   9,257.67/12,775.61 = 5,278.82/x
3. Step 3: Cross multiply
   9,257.67x = 12,775.61 × 5,278.82
4. Step 4: Simplify right side
   9,257.67x = 67,440,055.31
5. Step 5: Solve for x
   x = 67,440,055.31/9,257.67
6. Step 6: Final answer
   x = 7,284.78