Finding the Fourth Proportional to 2,563.62, 3,846.04 and 832.26

Step by Step Solution

1. Step 1: Write the proportion equation
   2,563.62 : 3,846.04 = 832.26 : x
2. Step 2: Convert to fraction form
   2,563.62/3,846.04 = 832.26/x
3. Step 3: Cross multiply
   2,563.62x = 3,846.04 × 832.26
4. Step 4: Simplify right side
   2,563.62x = 3,200,905.25
5. Step 5: Solve for x
   x = 3,200,905.25/2,563.62
6. Step 6: Final answer
   x = 1,248.59