Finding the Fourth Proportional to 1,149.52, 1,722.72 and 824.16

Step by Step Solution

1. Step 1: Write the proportion equation
   1,149.52 : 1,722.72 = 824.16 : x
2. Step 2: Convert to fraction form
   1,149.52/1,722.72 = 824.16/x
3. Step 3: Cross multiply
   1,149.52x = 1,722.72 × 824.16
4. Step 4: Simplify right side
   1,149.52x = 1,419,796.92
5. Step 5: Solve for x
   x = 1,419,796.92/1,149.52
6. Step 6: Final answer
   x = 1,235.12