Finding the Fourth Proportional to 1,022.06, 1,409.18 and 864.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,022.06 : 1,409.18 = 864.42 : x
2. Step 2: Convert to fraction form
   1,022.06/1,409.18 = 864.42/x
3. Step 3: Cross multiply
   1,022.06x = 1,409.18 × 864.42
4. Step 4: Simplify right side
   1,022.06x = 1,218,123.38
5. Step 5: Solve for x
   x = 1,218,123.38/1,022.06
6. Step 6: Final answer
   x = 1,191.83