Finding the Fourth Proportional to 1,022.57, 1,540.74 and 843.96

Step by Step Solution

1. Step 1: Write the proportion equation
   1,022.57 : 1,540.74 = 843.96 : x
2. Step 2: Convert to fraction form
   1,022.57/1,540.74 = 843.96/x
3. Step 3: Cross multiply
   1,022.57x = 1,540.74 × 843.96
4. Step 4: Simplify right side
   1,022.57x = 1,300,322.93
5. Step 5: Solve for x
   x = 1,300,322.93/1,022.57
6. Step 6: Final answer
   x = 1,271.63