Finding the Fourth Proportional to 2,571.10, 3,836.45 and 2,414.37

Step by Step Solution

1. Step 1: Write the proportion equation
   2,571.10 : 3,836.45 = 2,414.37 : x
2. Step 2: Convert to fraction form
   2,571.10/3,836.45 = 2,414.37/x
3. Step 3: Cross multiply
   2,571.10x = 3,836.45 × 2,414.37
4. Step 4: Simplify right side
   2,571.10x = 9,262,609.79
5. Step 5: Solve for x
   x = 9,262,609.79/2,571.10
6. Step 6: Final answer
   x = 3,602.59