Finding the Fourth Proportional to 1,522.83, 2,101.50 and 824.20

Step by Step Solution

1. Step 1: Write the proportion equation
   1,522.83 : 2,101.50 = 824.20 : x
2. Step 2: Convert to fraction form
   1,522.83/2,101.50 = 824.20/x
3. Step 3: Cross multiply
   1,522.83x = 2,101.50 × 824.20
4. Step 4: Simplify right side
   1,522.83x = 1,732,065.19
5. Step 5: Solve for x
   x = 1,732,065.19/1,522.83
6. Step 6: Final answer
   x = 1,137.40