Finding the Fourth Proportional to 1,352.04, 1,864.89 and 828.33

Step by Step Solution

1. Step 1: Write the proportion equation
   1,352.04 : 1,864.89 = 828.33 : x
2. Step 2: Convert to fraction form
   1,352.04/1,864.89 = 828.33/x
3. Step 3: Cross multiply
   1,352.04x = 1,864.89 × 828.33
4. Step 4: Simplify right side
   1,352.04x = 1,544,744.33
5. Step 5: Solve for x
   x = 1,544,744.33/1,352.04
6. Step 6: Final answer
   x = 1,142.53