Finding the Fourth Proportional to 2,560.32, 3,840.96 and 828.72

Step by Step Solution

1. Step 1: Write the proportion equation
   2,560.32 : 3,840.96 = 828.72 : x
2. Step 2: Convert to fraction form
   2,560.32/3,840.96 = 828.72/x
3. Step 3: Cross multiply
   2,560.32x = 3,840.96 × 828.72
4. Step 4: Simplify right side
   2,560.32x = 3,183,080.37
5. Step 5: Solve for x
   x = 3,183,080.37/2,560.32
6. Step 6: Final answer
   x = 1,243.24