Finding the Fourth Proportional to 1,022.14, 1,410.78 and 1,009.18

Step by Step Solution

1. Step 1: Write the proportion equation
   1,022.14 : 1,410.78 = 1,009.18 : x
2. Step 2: Convert to fraction form
   1,022.14/1,410.78 = 1,009.18/x
3. Step 3: Cross multiply
   1,022.14x = 1,410.78 × 1,009.18
4. Step 4: Simplify right side
   1,022.14x = 1,423,730.96
5. Step 5: Solve for x
   x = 1,423,730.96/1,022.14
6. Step 6: Final answer
   x = 1,392.89