Finding the Fourth Proportional to 1,022.31, 1,408.16 and 800.87

Step by Step Solution

1. Step 1: Write the proportion equation
   1,022.31 : 1,408.16 = 800.87 : x
2. Step 2: Convert to fraction form
   1,022.31/1,408.16 = 800.87/x
3. Step 3: Cross multiply
   1,022.31x = 1,408.16 × 800.87
4. Step 4: Simplify right side
   1,022.31x = 1,127,753.10
5. Step 5: Solve for x
   x = 1,127,753.10/1,022.31
6. Step 6: Final answer
   x = 1,103.14