Finding the Fourth Proportional to 2,052.56, 3,078.65 and 1,065.33

Step by Step Solution

1. Step 1: Write the proportion equation
   2,052.56 : 3,078.65 = 1,065.33 : x
2. Step 2: Convert to fraction form
   2,052.56/3,078.65 = 1,065.33/x
3. Step 3: Cross multiply
   2,052.56x = 3,078.65 × 1,065.33
4. Step 4: Simplify right side
   2,052.56x = 3,279,772.88
5. Step 5: Solve for x
   x = 3,279,772.88/2,052.56
6. Step 6: Final answer
   x = 1,597.90