Finding the Fourth Proportional to 2,561.32, 3,842.46 and 829.72

Step by Step Solution

1. Step 1: Write the proportion equation
   2,561.32 : 3,842.46 = 829.72 : x
2. Step 2: Convert to fraction form
   2,561.32/3,842.46 = 829.72/x
3. Step 3: Cross multiply
   2,561.32x = 3,842.46 × 829.72
4. Step 4: Simplify right side
   2,561.32x = 3,188,165.91
5. Step 5: Solve for x
   x = 3,188,165.91/2,561.32
6. Step 6: Final answer
   x = 1,244.74