Finding the Fourth Proportional to 1,072.30, 1,480.61 and 823.22

Step by Step Solution

1. Step 1: Write the proportion equation
   1,072.30 : 1,480.61 = 823.22 : x
2. Step 2: Convert to fraction form
   1,072.30/1,480.61 = 823.22/x
3. Step 3: Cross multiply
   1,072.30x = 1,480.61 × 823.22
4. Step 4: Simplify right side
   1,072.30x = 1,218,863.65
5. Step 5: Solve for x
   x = 1,218,863.65/1,072.30
6. Step 6: Final answer
   x = 1,136.69