Finding the Fourth Proportional to 2,563.82, 3,846.21 and 832.22

Step by Step Solution

1. Step 1: Write the proportion equation
   2,563.82 : 3,846.21 = 832.22 : x
2. Step 2: Convert to fraction form
   2,563.82/3,846.21 = 832.22/x
3. Step 3: Cross multiply
   2,563.82x = 3,846.21 × 832.22
4. Step 4: Simplify right side
   2,563.82x = 3,200,892.89
5. Step 5: Solve for x
   x = 3,200,892.89/2,563.82
6. Step 6: Final answer
   x = 1,248.49