Finding the Fourth Proportional to 9,758.93, 14,640.71 and 3,185.12

Step by Step Solution

1. Step 1: Write the proportion equation
   9,758.93 : 14,640.71 = 3,185.12 : x
2. Step 2: Convert to fraction form
   9,758.93/14,640.71 = 3,185.12/x
3. Step 3: Cross multiply
   9,758.93x = 14,640.71 × 3,185.12
4. Step 4: Simplify right side
   9,758.93x = 46,632,329.11
5. Step 5: Solve for x
   x = 46,632,329.11/9,758.93
6. Step 6: Final answer
   x = 4,778.43