Finding the Fourth Proportional to 8,119.10, 12,172.71 and 2,569.34

Step by Step Solution

1. Step 1: Write the proportion equation
   8,119.10 : 12,172.71 = 2,569.34 : x
2. Step 2: Convert to fraction form
   8,119.10/12,172.71 = 2,569.34/x
3. Step 3: Cross multiply
   8,119.10x = 12,172.71 × 2,569.34
4. Step 4: Simplify right side
   8,119.10x = 31,275,830.71
5. Step 5: Solve for x
   x = 31,275,830.71/8,119.10
6. Step 6: Final answer
   x = 3,852.13