Finding the Fourth Proportional to 6,442.37, 9,647.70 and 3,144.83

Step by Step Solution

1. Step 1: Write the proportion equation
   6,442.37 : 9,647.70 = 3,144.83 : x
2. Step 2: Convert to fraction form
   6,442.37/9,647.70 = 3,144.83/x
3. Step 3: Cross multiply
   6,442.37x = 9,647.70 × 3,144.83
4. Step 4: Simplify right side
   6,442.37x = 30,340,328.15
5. Step 5: Solve for x
   x = 30,340,328.15/6,442.37
6. Step 6: Final answer
   x = 4,709.50