Finding the Fourth Proportional to 1,522.25, 2,100.72 and 823.64

Step by Step Solution

1. Step 1: Write the proportion equation
   1,522.25 : 2,100.72 = 823.64 : x
2. Step 2: Convert to fraction form
   1,522.25/2,100.72 = 823.64/x
3. Step 3: Cross multiply
   1,522.25x = 2,100.72 × 823.64
4. Step 4: Simplify right side
   1,522.25x = 1,730,237.02
5. Step 5: Solve for x
   x = 1,730,237.02/1,522.25
6. Step 6: Final answer
   x = 1,136.63