Finding the Fourth Proportional to 1,426.52, 1,968.58 and 829.12

Step by Step Solution

1. Step 1: Write the proportion equation
   1,426.52 : 1,968.58 = 829.12 : x
2. Step 2: Convert to fraction form
   1,426.52/1,968.58 = 829.12/x
3. Step 3: Cross multiply
   1,426.52x = 1,968.58 × 829.12
4. Step 4: Simplify right side
   1,426.52x = 1,632,189.05
5. Step 5: Solve for x
   x = 1,632,189.05/1,426.52
6. Step 6: Final answer
   x = 1,144.18