Finding the Fourth Proportional to 2,052.51, 2,832.71 and 1,266.57

Step by Step Solution

1. Step 1: Write the proportion equation
   2,052.51 : 2,832.71 = 1,266.57 : x
2. Step 2: Convert to fraction form
   2,052.51/2,832.71 = 1,266.57/x
3. Step 3: Cross multiply
   2,052.51x = 2,832.71 × 1,266.57
4. Step 4: Simplify right side
   2,052.51x = 3,587,819.17
5. Step 5: Solve for x
   x = 3,587,819.17/2,052.51
6. Step 6: Final answer
   x = 1,748.02