Finding the Fourth Proportional to 2,465.42, 3,696.90 and 821.39

Step by Step Solution

1. Step 1: Write the proportion equation
   2,465.42 : 3,696.90 = 821.39 : x
2. Step 2: Convert to fraction form
   2,465.42/3,696.90 = 821.39/x
3. Step 3: Cross multiply
   2,465.42x = 3,696.90 × 821.39
4. Step 4: Simplify right side
   2,465.42x = 3,036,596.69
5. Step 5: Solve for x
   x = 3,036,596.69/2,465.42
6. Step 6: Final answer
   x = 1,231.68