Finding the Fourth Proportional to 1,426.52, 1,968.83 and 829.03

Step by Step Solution

1. Step 1: Write the proportion equation
   1,426.52 : 1,968.83 = 829.03 : x
2. Step 2: Convert to fraction form
   1,426.52/1,968.83 = 829.03/x
3. Step 3: Cross multiply
   1,426.52x = 1,968.83 × 829.03
4. Step 4: Simplify right side
   1,426.52x = 1,632,219.13
5. Step 5: Solve for x
   x = 1,632,219.13/1,426.52
6. Step 6: Final answer
   x = 1,144.20