Finding the Fourth Proportional to 2,052.72, 3,077.56 and 1,027.44

Step by Step Solution

1. Step 1: Write the proportion equation
   2,052.72 : 3,077.56 = 1,027.44 : x
2. Step 2: Convert to fraction form
   2,052.72/3,077.56 = 1,027.44/x
3. Step 3: Cross multiply
   2,052.72x = 3,077.56 × 1,027.44
4. Step 4: Simplify right side
   2,052.72x = 3,162,008.25
5. Step 5: Solve for x
   x = 3,162,008.25/2,052.72
6. Step 6: Final answer
   x = 1,540.40