Finding the Fourth Proportional to 9,758.79, 14,640.52 and 3,184.98

Step by Step Solution

1. Step 1: Write the proportion equation
   9,758.79 : 14,640.52 = 3,184.98 : x
2. Step 2: Convert to fraction form
   9,758.79/14,640.52 = 3,184.98/x
3. Step 3: Cross multiply
   9,758.79x = 14,640.52 × 3,184.98
4. Step 4: Simplify right side
   9,758.79x = 46,629,763.39
5. Step 5: Solve for x
   x = 46,629,763.39/9,758.79
6. Step 6: Final answer
   x = 4,778.23