Finding the Fourth Proportional to 9,234.25, 12,743.31 and 5,042.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,234.25 : 12,743.31 = 5,042.50 : x
2. Step 2: Convert to fraction form
   9,234.25/12,743.31 = 5,042.50/x
3. Step 3: Cross multiply
   9,234.25x = 12,743.31 × 5,042.50
4. Step 4: Simplify right side
   9,234.25x = 64,258,140.68
5. Step 5: Solve for x
   x = 64,258,140.68/9,234.25
6. Step 6: Final answer
   x = 6,958.67