Finding the Fourth Proportional to 2,182.56, 3,271.71 and 865.87

Step by Step Solution

1. Step 1: Write the proportion equation
   2,182.56 : 3,271.71 = 865.87 : x
2. Step 2: Convert to fraction form
   2,182.56/3,271.71 = 865.87/x
3. Step 3: Cross multiply
   2,182.56x = 3,271.71 × 865.87
4. Step 4: Simplify right side
   2,182.56x = 2,832,884.14
5. Step 5: Solve for x
   x = 2,832,884.14/2,182.56
6. Step 6: Final answer
   x = 1,297.96