Finding the Fourth Proportional to 9,758.92, 14,640.42 and 3,185.48

Step by Step Solution

1. Step 1: Write the proportion equation
   9,758.92 : 14,640.42 = 3,185.48 : x
2. Step 2: Convert to fraction form
   9,758.92/14,640.42 = 3,185.48/x
3. Step 3: Cross multiply
   9,758.92x = 14,640.42 × 3,185.48
4. Step 4: Simplify right side
   9,758.92x = 46,636,765.10
5. Step 5: Solve for x
   x = 46,636,765.10/9,758.92
6. Step 6: Final answer
   x = 4,778.89