Finding the Fourth Proportional to 1,530.14, 2,111.58 and 831.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,530.14 : 2,111.58 = 831.50 : x
2. Step 2: Convert to fraction form
   1,530.14/2,111.58 = 831.50/x
3. Step 3: Cross multiply
   1,530.14x = 2,111.58 × 831.50
4. Step 4: Simplify right side
   1,530.14x = 1,755,778.77
5. Step 5: Solve for x
   x = 1,755,778.77/1,530.14
6. Step 6: Final answer
   x = 1,147.46