Finding the Fourth Proportional to 1,294.50, 1,786.23 and 797.22

Step by Step Solution

1. Step 1: Write the proportion equation
   1,294.50 : 1,786.23 = 797.22 : x
2. Step 2: Convert to fraction form
   1,294.50/1,786.23 = 797.22/x
3. Step 3: Cross multiply
   1,294.50x = 1,786.23 × 797.22
4. Step 4: Simplify right side
   1,294.50x = 1,424,018.28
5. Step 5: Solve for x
   x = 1,424,018.28/1,294.50
6. Step 6: Final answer
   x = 1,100.05