Finding the Fourth Proportional to 1,522.26, 2,100.71 and 823.64

Step by Step Solution

1. Step 1: Write the proportion equation
   1,522.26 : 2,100.71 = 823.64 : x
2. Step 2: Convert to fraction form
   1,522.26/2,100.71 = 823.64/x
3. Step 3: Cross multiply
   1,522.26x = 2,100.71 × 823.64
4. Step 4: Simplify right side
   1,522.26x = 1,730,228.78
5. Step 5: Solve for x
   x = 1,730,228.78/1,522.26
6. Step 6: Final answer
   x = 1,136.62