Finding the Fourth Proportional to 1,002.22, 1,499.69 and 827.26

Step by Step Solution

1. Step 1: Write the proportion equation
   1,002.22 : 1,499.69 = 827.26 : x
2. Step 2: Convert to fraction form
   1,002.22/1,499.69 = 827.26/x
3. Step 3: Cross multiply
   1,002.22x = 1,499.69 × 827.26
4. Step 4: Simplify right side
   1,002.22x = 1,240,629.41
5. Step 5: Solve for x
   x = 1,240,629.41/1,002.22
6. Step 6: Final answer
   x = 1,237.88