Finding the Fourth Proportional to 2,052.50, 2,830.77 and 1,266.74

Step by Step Solution

1. Step 1: Write the proportion equation
   2,052.50 : 2,830.77 = 1,266.74 : x
2. Step 2: Convert to fraction form
   2,052.50/2,830.77 = 1,266.74/x
3. Step 3: Cross multiply
   2,052.50x = 2,830.77 × 1,266.74
4. Step 4: Simplify right side
   2,052.50x = 3,585,849.59
5. Step 5: Solve for x
   x = 3,585,849.59/2,052.50
6. Step 6: Final answer
   x = 1,747.06