Finding the Fourth Proportional to 2,123.96, 3,186.39 and 825.42

Step by Step Solution

1. Step 1: Write the proportion equation
   2,123.96 : 3,186.39 = 825.42 : x
2. Step 2: Convert to fraction form
   2,123.96/3,186.39 = 825.42/x
3. Step 3: Cross multiply
   2,123.96x = 3,186.39 × 825.42
4. Step 4: Simplify right side
   2,123.96x = 2,630,110.03
5. Step 5: Solve for x
   x = 2,630,110.03/2,123.96
6. Step 6: Final answer
   x = 1,238.31