Finding the Fourth Proportional to 9,758.88, 14,636.95 and 3,185.12

Step by Step Solution

1. Step 1: Write the proportion equation
   9,758.88 : 14,636.95 = 3,185.12 : x
2. Step 2: Convert to fraction form
   9,758.88/14,636.95 = 3,185.12/x
3. Step 3: Cross multiply
   9,758.88x = 14,636.95 × 3,185.12
4. Step 4: Simplify right side
   9,758.88x = 46,620,488.73
5. Step 5: Solve for x
   x = 46,620,488.73/9,758.88
6. Step 6: Final answer
   x = 4,777.24