Finding the Fourth Proportional to 1,050.69, 1,448.37 and 829.20

Step by Step Solution

1. Step 1: Write the proportion equation
   1,050.69 : 1,448.37 = 829.20 : x
2. Step 2: Convert to fraction form
   1,050.69/1,448.37 = 829.20/x
3. Step 3: Cross multiply
   1,050.69x = 1,448.37 × 829.20
4. Step 4: Simplify right side
   1,050.69x = 1,200,988.40
5. Step 5: Solve for x
   x = 1,200,988.40/1,050.69
6. Step 6: Final answer
   x = 1,143.05