Finding the Fourth Proportional to 3,667.81, 5,490.77 and 2,571.57

Step by Step Solution

1. Step 1: Write the proportion equation
   3,667.81 : 5,490.77 = 2,571.57 : x
2. Step 2: Convert to fraction form
   3,667.81/5,490.77 = 2,571.57/x
3. Step 3: Cross multiply
   3,667.81x = 5,490.77 × 2,571.57
4. Step 4: Simplify right side
   3,667.81x = 14,119,899.41
5. Step 5: Solve for x
   x = 14,119,899.41/3,667.81
6. Step 6: Final answer
   x = 3,849.68