Finding the Fourth Proportional to 9,758.17, 14,639.58 and 3,184.37

Step by Step Solution

1. Step 1: Write the proportion equation
   9,758.17 : 14,639.58 = 3,184.37 : x
2. Step 2: Convert to fraction form
   9,758.17/14,639.58 = 3,184.37/x
3. Step 3: Cross multiply
   9,758.17x = 14,639.58 × 3,184.37
4. Step 4: Simplify right side
   9,758.17x = 46,617,766.17
5. Step 5: Solve for x
   x = 46,617,766.17/9,758.17
6. Step 6: Final answer
   x = 4,777.31