Finding the Fourth Proportional to 2,571.38, 3,856.91 and 1,109.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,571.38 : 3,856.91 = 1,109.50 : x
2. Step 2: Convert to fraction form
   2,571.38/3,856.91 = 1,109.50/x
3. Step 3: Cross multiply
   2,571.38x = 3,856.91 × 1,109.50
4. Step 4: Simplify right side
   2,571.38x = 4,279,241.65
5. Step 5: Solve for x
   x = 4,279,241.65/2,571.38
6. Step 6: Final answer
   x = 1,664.18