Finding the Fourth Proportional to 9,759.57, 14,640.17 and 3,185.61

Step by Step Solution

1. Step 1: Write the proportion equation
   9,759.57 : 14,640.17 = 3,185.61 : x
2. Step 2: Convert to fraction form
   9,759.57/14,640.17 = 3,185.61/x
3. Step 3: Cross multiply
   9,759.57x = 14,640.17 × 3,185.61
4. Step 4: Simplify right side
   9,759.57x = 46,637,856.03
5. Step 5: Solve for x
   x = 46,637,856.03/9,759.57
6. Step 6: Final answer
   x = 4,778.68