Finding the Fourth Proportional to 2,361.42, 3,540.78 and 821.34

Step by Step Solution

1. Step 1: Write the proportion equation
   2,361.42 : 3,540.78 = 821.34 : x
2. Step 2: Convert to fraction form
   2,361.42/3,540.78 = 821.34/x
3. Step 3: Cross multiply
   2,361.42x = 3,540.78 × 821.34
4. Step 4: Simplify right side
   2,361.42x = 2,908,184.25
5. Step 5: Solve for x
   x = 2,908,184.25/2,361.42
6. Step 6: Final answer
   x = 1,231.54