Finding the Fourth Proportional to 2,052, 2,831.76 and 1,266.71

Step by Step Solution

1. Step 1: Write the proportion equation
   2,052 : 2,831.76 = 1,266.71 : x
2. Step 2: Convert to fraction form
   2,052/2,831.76 = 1,266.71/x
3. Step 3: Cross multiply
   2,052x = 2,831.76 × 1,266.71
4. Step 4: Simplify right side
   2,052x = 3,587,004.55
5. Step 5: Solve for x
   x = 3,587,004.55/2,052
6. Step 6: Final answer
   x = 1,748.05