Finding the Fourth Proportional to 2,559.30, 3,837.69 and 827.70

Step by Step Solution

1. Step 1: Write the proportion equation
   2,559.30 : 3,837.69 = 827.70 : x
2. Step 2: Convert to fraction form
   2,559.30/3,837.69 = 827.70/x
3. Step 3: Cross multiply
   2,559.30x = 3,837.69 × 827.70
4. Step 4: Simplify right side
   2,559.30x = 3,176,456.01
5. Step 5: Solve for x
   x = 3,176,456.01/2,559.30
6. Step 6: Final answer
   x = 1,241.14