Finding the Fourth Proportional to 2,389.78, 3,582.01 and 828.33

Step by Step Solution

1. Step 1: Write the proportion equation
   2,389.78 : 3,582.01 = 828.33 : x
2. Step 2: Convert to fraction form
   2,389.78/3,582.01 = 828.33/x
3. Step 3: Cross multiply
   2,389.78x = 3,582.01 × 828.33
4. Step 4: Simplify right side
   2,389.78x = 2,967,086.34
5. Step 5: Solve for x
   x = 2,967,086.34/2,389.78
6. Step 6: Final answer
   x = 1,241.57