Finding the Fourth Proportional to 2,123.97, 3,185.15 and 825.27

Step by Step Solution

1. Step 1: Write the proportion equation
   2,123.97 : 3,185.15 = 825.27 : x
2. Step 2: Convert to fraction form
   2,123.97/3,185.15 = 825.27/x
3. Step 3: Cross multiply
   2,123.97x = 3,185.15 × 825.27
4. Step 4: Simplify right side
   2,123.97x = 2,628,604.61
5. Step 5: Solve for x
   x = 2,628,604.61/2,123.97
6. Step 6: Final answer
   x = 1,237.59