Finding the Fourth Proportional to 1,275.92, 1,760.72 and 828.24

Step by Step Solution

1. Step 1: Write the proportion equation
   1,275.92 : 1,760.72 = 828.24 : x
2. Step 2: Convert to fraction form
   1,275.92/1,760.72 = 828.24/x
3. Step 3: Cross multiply
   1,275.92x = 1,760.72 × 828.24
4. Step 4: Simplify right side
   1,275.92x = 1,458,298.73
5. Step 5: Solve for x
   x = 1,458,298.73/1,275.92
6. Step 6: Final answer
   x = 1,142.94