Finding the Fourth Proportional to 1,426.84, 1,968.42 and 829.28

Step by Step Solution

1. Step 1: Write the proportion equation
   1,426.84 : 1,968.42 = 829.28 : x
2. Step 2: Convert to fraction form
   1,426.84/1,968.42 = 829.28/x
3. Step 3: Cross multiply
   1,426.84x = 1,968.42 × 829.28
4. Step 4: Simplify right side
   1,426.84x = 1,632,371.34
5. Step 5: Solve for x
   x = 1,632,371.34/1,426.84
6. Step 6: Final answer
   x = 1,144.05