Finding the Fourth Proportional to 2,465.67, 3,698.76 and 821.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,465.67 : 3,698.76 = 821.78 : x
2. Step 2: Convert to fraction form
   2,465.67/3,698.76 = 821.78/x
3. Step 3: Cross multiply
   2,465.67x = 3,698.76 × 821.78
4. Step 4: Simplify right side
   2,465.67x = 3,039,565.45
5. Step 5: Solve for x
   x = 3,039,565.45/2,465.67
6. Step 6: Final answer
   x = 1,232.75