Finding the Fourth Proportional to 1,142.55, 1,575.72 and 829.89

Step by Step Solution

1. Step 1: Write the proportion equation
   1,142.55 : 1,575.72 = 829.89 : x
2. Step 2: Convert to fraction form
   1,142.55/1,575.72 = 829.89/x
3. Step 3: Cross multiply
   1,142.55x = 1,575.72 × 829.89
4. Step 4: Simplify right side
   1,142.55x = 1,307,674.27
5. Step 5: Solve for x
   x = 1,307,674.27/1,142.55
6. Step 6: Final answer
   x = 1,144.52