Finding the Fourth Proportional to 1,522.24, 2,283.74 and 828.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,522.24 : 2,283.74 = 828.72 : x
2. Step 2: Convert to fraction form
   1,522.24/2,283.74 = 828.72/x
3. Step 3: Cross multiply
   1,522.24x = 2,283.74 × 828.72
4. Step 4: Simplify right side
   1,522.24x = 1,892,581.01
5. Step 5: Solve for x
   x = 1,892,581.01/1,522.24
6. Step 6: Final answer
   x = 1,243.29