Finding the Fourth Proportional to 1,142.58, 1,575.72 and 829.92

Step by Step Solution

1. Step 1: Write the proportion equation
   1,142.58 : 1,575.72 = 829.92 : x
2. Step 2: Convert to fraction form
   1,142.58/1,575.72 = 829.92/x
3. Step 3: Cross multiply
   1,142.58x = 1,575.72 × 829.92
4. Step 4: Simplify right side
   1,142.58x = 1,307,721.54
5. Step 5: Solve for x
   x = 1,307,721.54/1,142.58
6. Step 6: Final answer
   x = 1,144.53