Finding the Fourth Proportional to 1,146.83, 1,582.04 and 727.07

Step by Step Solution

1. Step 1: Write the proportion equation
   1,146.83 : 1,582.04 = 727.07 : x
2. Step 2: Convert to fraction form
   1,146.83/1,582.04 = 727.07/x
3. Step 3: Cross multiply
   1,146.83x = 1,582.04 × 727.07
4. Step 4: Simplify right side
   1,146.83x = 1,150,247.73
5. Step 5: Solve for x
   x = 1,150,247.73/1,146.83
6. Step 6: Final answer
   x = 1,002.98