Finding the Fourth Proportional to 2,128.22, 3,191.52 and 829.52

Step by Step Solution

1. Step 1: Write the proportion equation
   2,128.22 : 3,191.52 = 829.52 : x
2. Step 2: Convert to fraction form
   2,128.22/3,191.52 = 829.52/x
3. Step 3: Cross multiply
   2,128.22x = 3,191.52 × 829.52
4. Step 4: Simplify right side
   2,128.22x = 2,647,429.67
5. Step 5: Solve for x
   x = 2,647,429.67/2,128.22
6. Step 6: Final answer
   x = 1,243.96