Finding the Fourth Proportional to 3,426.12, 5,139.17 and 829.05

Step by Step Solution

1. Step 1: Write the proportion equation
   3,426.12 : 5,139.17 = 829.05 : x
2. Step 2: Convert to fraction form
   3,426.12/5,139.17 = 829.05/x
3. Step 3: Cross multiply
   3,426.12x = 5,139.17 × 829.05
4. Step 4: Simplify right side
   3,426.12x = 4,260,628.89
5. Step 5: Solve for x
   x = 4,260,628.89/3,426.12
6. Step 6: Final answer
   x = 1,243.57