Finding the Fourth Proportional to 1,522.89, 2,101.60 and 824.27

Step by Step Solution

1. Step 1: Write the proportion equation
   1,522.89 : 2,101.60 = 824.27 : x
2. Step 2: Convert to fraction form
   1,522.89/2,101.60 = 824.27/x
3. Step 3: Cross multiply
   1,522.89x = 2,101.60 × 824.27
4. Step 4: Simplify right side
   1,522.89x = 1,732,276.46
5. Step 5: Solve for x
   x = 1,732,276.46/1,522.89
6. Step 6: Final answer
   x = 1,137.49