Finding the Fourth Proportional to 1,427.33, 1,969.11 and 829.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,427.33 : 1,969.11 = 829.78 : x
2. Step 2: Convert to fraction form
   1,427.33/1,969.11 = 829.78/x
3. Step 3: Cross multiply
   1,427.33x = 1,969.11 × 829.78
4. Step 4: Simplify right side
   1,427.33x = 1,633,928.10
5. Step 5: Solve for x
   x = 1,633,928.10/1,427.33
6. Step 6: Final answer
   x = 1,144.74