Finding the Fourth Proportional to 1,427.19, 1,969.52 and 829.47

Step by Step Solution

1. Step 1: Write the proportion equation
   1,427.19 : 1,969.52 = 829.47 : x
2. Step 2: Convert to fraction form
   1,427.19/1,969.52 = 829.47/x
3. Step 3: Cross multiply
   1,427.19x = 1,969.52 × 829.47
4. Step 4: Simplify right side
   1,427.19x = 1,633,653.61
5. Step 5: Solve for x
   x = 1,633,653.61/1,427.19
6. Step 6: Final answer
   x = 1,144.66