Finding the Fourth Proportional to 1,426.85, 1,969.31 and 829.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,426.85 : 1,969.31 = 829.42 : x
2. Step 2: Convert to fraction form
   1,426.85/1,969.31 = 829.42/x
3. Step 3: Cross multiply
   1,426.85x = 1,969.31 × 829.42
4. Step 4: Simplify right side
   1,426.85x = 1,633,390.02
5. Step 5: Solve for x
   x = 1,633,390.02/1,426.85
6. Step 6: Final answer
   x = 1,144.75