Finding the Fourth Proportional to 1,530.38, 2,111.92 and 831.75

Step by Step Solution

1. Step 1: Write the proportion equation
   1,530.38 : 2,111.92 = 831.75 : x
2. Step 2: Convert to fraction form
   1,530.38/2,111.92 = 831.75/x
3. Step 3: Cross multiply
   1,530.38x = 2,111.92 × 831.75
4. Step 4: Simplify right side
   1,530.38x = 1,756,589.46
5. Step 5: Solve for x
   x = 1,756,589.46/1,530.38
6. Step 6: Final answer
   x = 1,147.82