Finding the Fourth Proportional to 2,465.31, 3,697.17 and 821.42

Step by Step Solution

1. Step 1: Write the proportion equation
   2,465.31 : 3,697.17 = 821.42 : x
2. Step 2: Convert to fraction form
   2,465.31/3,697.17 = 821.42/x
3. Step 3: Cross multiply
   2,465.31x = 3,697.17 × 821.42
4. Step 4: Simplify right side
   2,465.31x = 3,036,929.38
5. Step 5: Solve for x
   x = 3,036,929.38/2,465.31
6. Step 6: Final answer
   x = 1,231.87