Finding the Fourth Proportional to 2,465.33, 3,698.59 and 821.89

Step by Step Solution

1. Step 1: Write the proportion equation
   2,465.33 : 3,698.59 = 821.89 : x
2. Step 2: Convert to fraction form
   2,465.33/3,698.59 = 821.89/x
3. Step 3: Cross multiply
   2,465.33x = 3,698.59 × 821.89
4. Step 4: Simplify right side
   2,465.33x = 3,039,834.14
5. Step 5: Solve for x
   x = 3,039,834.14/2,465.33
6. Step 6: Final answer
   x = 1,233.03