Finding the Fourth Proportional to 9,257.34, 12,774.38 and 5,277.72

Step by Step Solution

1. Step 1: Write the proportion equation
   9,257.34 : 12,774.38 = 5,277.72 : x
2. Step 2: Convert to fraction form
   9,257.34/12,774.38 = 5,277.72/x
3. Step 3: Cross multiply
   9,257.34x = 12,774.38 × 5,277.72
4. Step 4: Simplify right side
   9,257.34x = 67,419,600.81
5. Step 5: Solve for x
   x = 67,419,600.81/9,257.34
6. Step 6: Final answer
   x = 7,282.83