Finding the Fourth Proportional to 2,563.70, 3,846.02 and 832.10

Step by Step Solution

1. Step 1: Write the proportion equation
   2,563.70 : 3,846.02 = 832.10 : x
2. Step 2: Convert to fraction form
   2,563.70/3,846.02 = 832.10/x
3. Step 3: Cross multiply
   2,563.70x = 3,846.02 × 832.10
4. Step 4: Simplify right side
   2,563.70x = 3,200,256.09
5. Step 5: Solve for x
   x = 3,200,256.09/2,563.70
6. Step 6: Final answer
   x = 1,248.30