Finding the Fourth Proportional to 2,128.59, 3,191.94 and 829.17

Step by Step Solution

1. Step 1: Write the proportion equation
   2,128.59 : 3,191.94 = 829.17 : x
2. Step 2: Convert to fraction form
   2,128.59/3,191.94 = 829.17/x
3. Step 3: Cross multiply
   2,128.59x = 3,191.94 × 829.17
4. Step 4: Simplify right side
   2,128.59x = 2,646,660.89
5. Step 5: Solve for x
   x = 2,646,660.89/2,128.59
6. Step 6: Final answer
   x = 1,243.39