Finding the Fourth Proportional to 2,105.09, 2,906.27 and 1,871.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,105.09 : 2,906.27 = 1,871.56 : x
2. Step 2: Convert to fraction form
   2,105.09/2,906.27 = 1,871.56/x
3. Step 3: Cross multiply
   2,105.09x = 2,906.27 × 1,871.56
4. Step 4: Simplify right side
   2,105.09x = 5,439,273.41
5. Step 5: Solve for x
   x = 5,439,273.41/2,105.09
6. Step 6: Final answer
   x = 2,583.87