Finding the Fourth Proportional to 1,022.69, 1,402.09 and 1,004.24

Step by Step Solution

1. Step 1: Write the proportion equation
   1,022.69 : 1,402.09 = 1,004.24 : x
2. Step 2: Convert to fraction form
   1,022.69/1,402.09 = 1,004.24/x
3. Step 3: Cross multiply
   1,022.69x = 1,402.09 × 1,004.24
4. Step 4: Simplify right side
   1,022.69x = 1,408,034.86
5. Step 5: Solve for x
   x = 1,408,034.86/1,022.69
6. Step 6: Final answer
   x = 1,376.80