Finding the Fourth Proportional to 9,759.30, 14,638.89 and 3,185.49

Step by Step Solution

1. Step 1: Write the proportion equation
   9,759.30 : 14,638.89 = 3,185.49 : x
2. Step 2: Convert to fraction form
   9,759.30/14,638.89 = 3,185.49/x
3. Step 3: Cross multiply
   9,759.30x = 14,638.89 × 3,185.49
4. Step 4: Simplify right side
   9,759.30x = 46,632,037.71
5. Step 5: Solve for x
   x = 46,632,037.71/9,759.30
6. Step 6: Final answer
   x = 4,778.22