Finding the Fourth Proportional to 2,571.10, 3,856.86 and 1,166.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,571.10 : 3,856.86 = 1,166.38 : x
2. Step 2: Convert to fraction form
   2,571.10/3,856.86 = 1,166.38/x
3. Step 3: Cross multiply
   2,571.10x = 3,856.86 × 1,166.38
4. Step 4: Simplify right side
   2,571.10x = 4,498,554.72
5. Step 5: Solve for x
   x = 4,498,554.72/2,571.10
6. Step 6: Final answer
   x = 1,749.66