Finding the Fourth Proportional to 9,257.10, 12,774.48 and 5,279.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,257.10 : 12,774.48 = 5,279.50 : x
2. Step 2: Convert to fraction form
   9,257.10/12,774.48 = 5,279.50/x
3. Step 3: Cross multiply
   9,257.10x = 12,774.48 × 5,279.50
4. Step 4: Simplify right side
   9,257.10x = 67,442,791.47
5. Step 5: Solve for x
   x = 67,442,791.47/9,257.10
6. Step 6: Final answer
   x = 7,285.52