Finding the Fourth Proportional to 1,426.76, 1,968.94 and 829.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,426.76 : 1,968.94 = 829.38 : x
2. Step 2: Convert to fraction form
   1,426.76/1,968.94 = 829.38/x
3. Step 3: Cross multiply
   1,426.76x = 1,968.94 × 829.38
4. Step 4: Simplify right side
   1,426.76x = 1,632,999.46
5. Step 5: Solve for x
   x = 1,632,999.46/1,426.76
6. Step 6: Final answer
   x = 1,144.55