Finding the Fourth Proportional to 1,109.55, 1,529.92 and 829.32

Step by Step Solution

1. Step 1: Write the proportion equation
   1,109.55 : 1,529.92 = 829.32 : x
2. Step 2: Convert to fraction form
   1,109.55/1,529.92 = 829.32/x
3. Step 3: Cross multiply
   1,109.55x = 1,529.92 × 829.32
4. Step 4: Simplify right side
   1,109.55x = 1,268,793.25
5. Step 5: Solve for x
   x = 1,268,793.25/1,109.55
6. Step 6: Final answer
   x = 1,143.52