Finding the Fourth Proportional to 9,738.69, 14,612.22 and 3,166.89

Step by Step Solution

1. Step 1: Write the proportion equation
   9,738.69 : 14,612.22 = 3,166.89 : x
2. Step 2: Convert to fraction form
   9,738.69/14,612.22 = 3,166.89/x
3. Step 3: Cross multiply
   9,738.69x = 14,612.22 × 3,166.89
4. Step 4: Simplify right side
   9,738.69x = 46,275,293.40
5. Step 5: Solve for x
   x = 46,275,293.40/9,738.69
6. Step 6: Final answer
   x = 4,751.70