Finding the Fourth Proportional to 1,022.75, 1,411.43 and 801.32

Step by Step Solution

1. Step 1: Write the proportion equation
   1,022.75 : 1,411.43 = 801.32 : x
2. Step 2: Convert to fraction form
   1,022.75/1,411.43 = 801.32/x
3. Step 3: Cross multiply
   1,022.75x = 1,411.43 × 801.32
4. Step 4: Simplify right side
   1,022.75x = 1,130,996.02
5. Step 5: Solve for x
   x = 1,130,996.02/1,022.75
6. Step 6: Final answer
   x = 1,105.84