Finding the Fourth Proportional to 1,522.47, 2,101.02 and 823.85

Step by Step Solution

1. Step 1: Write the proportion equation
   1,522.47 : 2,101.02 = 823.85 : x
2. Step 2: Convert to fraction form
   1,522.47/2,101.02 = 823.85/x
3. Step 3: Cross multiply
   1,522.47x = 2,101.02 × 823.85
4. Step 4: Simplify right side
   1,522.47x = 1,730,925.33
5. Step 5: Solve for x
   x = 1,730,925.33/1,522.47
6. Step 6: Final answer
   x = 1,136.92