Finding the Fourth Proportional to 3,964.28, 5,470.71 and 2,569.46

Step by Step Solution

1. Step 1: Write the proportion equation
   3,964.28 : 5,470.71 = 2,569.46 : x
2. Step 2: Convert to fraction form
   3,964.28/5,470.71 = 2,569.46/x
3. Step 3: Cross multiply
   3,964.28x = 5,470.71 × 2,569.46
4. Step 4: Simplify right side
   3,964.28x = 14,056,770.52
5. Step 5: Solve for x
   x = 14,056,770.52/3,964.28
6. Step 6: Final answer
   x = 3,545.86