Finding the Fourth Proportional to 1,522.04, 2,100.42 and 823.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,522.04 : 2,100.42 = 823.42 : x
2. Step 2: Convert to fraction form
   1,522.04/2,100.42 = 823.42/x
3. Step 3: Cross multiply
   1,522.04x = 2,100.42 × 823.42
4. Step 4: Simplify right side
   1,522.04x = 1,729,527.84
5. Step 5: Solve for x
   x = 1,729,527.84/1,522.04
6. Step 6: Final answer
   x = 1,136.32