Finding the Fourth Proportional to 1,647.33, 2,471.57 and 825.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,647.33 : 2,471.57 = 825.42 : x
2. Step 2: Convert to fraction form
   1,647.33/2,471.57 = 825.42/x
3. Step 3: Cross multiply
   1,647.33x = 2,471.57 × 825.42
4. Step 4: Simplify right side
   1,647.33x = 2,040,083.31
5. Step 5: Solve for x
   x = 2,040,083.31/1,647.33
6. Step 6: Final answer
   x = 1,238.42