Finding the Fourth Proportional to 1,522.19, 2,100.61 and 823.57

Step by Step Solution

1. Step 1: Write the proportion equation
   1,522.19 : 2,100.61 = 823.57 : x
2. Step 2: Convert to fraction form
   1,522.19/2,100.61 = 823.57/x
3. Step 3: Cross multiply
   1,522.19x = 2,100.61 × 823.57
4. Step 4: Simplify right side
   1,522.19x = 1,729,992.07
5. Step 5: Solve for x
   x = 1,729,992.07/1,522.19
6. Step 6: Final answer
   x = 1,136.51