Finding the Fourth Proportional to 1,522.52, 2,101.05 and 823.89

Step by Step Solution

1. Step 1: Write the proportion equation
   1,522.52 : 2,101.05 = 823.89 : x
2. Step 2: Convert to fraction form
   1,522.52/2,101.05 = 823.89/x
3. Step 3: Cross multiply
   1,522.52x = 2,101.05 × 823.89
4. Step 4: Simplify right side
   1,522.52x = 1,731,034.08
5. Step 5: Solve for x
   x = 1,731,034.08/1,522.52
6. Step 6: Final answer
   x = 1,136.96