Finding the Fourth Proportional to 1,352.50, 1,866.50 and 828.43

Step by Step Solution

1. Step 1: Write the proportion equation
   1,352.50 : 1,866.50 = 828.43 : x
2. Step 2: Convert to fraction form
   1,352.50/1,866.50 = 828.43/x
3. Step 3: Cross multiply
   1,352.50x = 1,866.50 × 828.43
4. Step 4: Simplify right side
   1,352.50x = 1,546,260.45
5. Step 5: Solve for x
   x = 1,546,260.45/1,352.50
6. Step 6: Final answer
   x = 1,143.26