Finding the Fourth Proportional to 1,522.22, 2,100.66 and 823.59

Step by Step Solution

1. Step 1: Write the proportion equation
   1,522.22 : 2,100.66 = 823.59 : x
2. Step 2: Convert to fraction form
   1,522.22/2,100.66 = 823.59/x
3. Step 3: Cross multiply
   1,522.22x = 2,100.66 × 823.59
4. Step 4: Simplify right side
   1,522.22x = 1,730,093.54
5. Step 5: Solve for x
   x = 1,730,093.54/1,522.22
6. Step 6: Final answer
   x = 1,136.56