Finding the Fourth Proportional to 1,426.64, 1,968.64 and 829.01

Step by Step Solution

1. Step 1: Write the proportion equation
   1,426.64 : 1,968.64 = 829.01 : x
2. Step 2: Convert to fraction form
   1,426.64/1,968.64 = 829.01/x
3. Step 3: Cross multiply
   1,426.64x = 1,968.64 × 829.01
4. Step 4: Simplify right side
   1,426.64x = 1,632,022.25
5. Step 5: Solve for x
   x = 1,632,022.25/1,426.64
6. Step 6: Final answer
   x = 1,143.96