Finding the Fourth Proportional to 1,522.82, 2,101.49 and 824.19

Step by Step Solution

1. Step 1: Write the proportion equation
   1,522.82 : 2,101.49 = 824.19 : x
2. Step 2: Convert to fraction form
   1,522.82/2,101.49 = 824.19/x
3. Step 3: Cross multiply
   1,522.82x = 2,101.49 × 824.19
4. Step 4: Simplify right side
   1,522.82x = 1,732,029.37
5. Step 5: Solve for x
   x = 1,732,029.37/1,522.82
6. Step 6: Final answer
   x = 1,137.39