Finding the Fourth Proportional to 2,563.50, 3,845.88 and 832.14

Step by Step Solution

1. Step 1: Write the proportion equation
   2,563.50 : 3,845.88 = 832.14 : x
2. Step 2: Convert to fraction form
   2,563.50/3,845.88 = 832.14/x
3. Step 3: Cross multiply
   2,563.50x = 3,845.88 × 832.14
4. Step 4: Simplify right side
   2,563.50x = 3,200,310.58
5. Step 5: Solve for x
   x = 3,200,310.58/2,563.50
6. Step 6: Final answer
   x = 1,248.41