Finding the Fourth Proportional to 1,002.82, 1,504.26 and 797.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,002.82 : 1,504.26 = 797.82 : x
2. Step 2: Convert to fraction form
   1,002.82/1,504.26 = 797.82/x
3. Step 3: Cross multiply
   1,002.82x = 1,504.26 × 797.82
4. Step 4: Simplify right side
   1,002.82x = 1,200,128.71
5. Step 5: Solve for x
   x = 1,200,128.71/1,002.82
6. Step 6: Final answer
   x = 1,196.75