Finding the Fourth Proportional to 8,109.57, 12,169.16 and 3,429.33

Step by Step Solution

1. Step 1: Write the proportion equation
   8,109.57 : 12,169.16 = 3,429.33 : x
2. Step 2: Convert to fraction form
   8,109.57/12,169.16 = 3,429.33/x
3. Step 3: Cross multiply
   8,109.57x = 12,169.16 × 3,429.33
4. Step 4: Simplify right side
   8,109.57x = 41,732,065.46
5. Step 5: Solve for x
   x = 41,732,065.46/8,109.57
6. Step 6: Final answer
   x = 5,146.03