Finding the Fourth Proportional to 1,530.13, 2,111.57 and 831.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,530.13 : 2,111.57 = 831.50 : x
2. Step 2: Convert to fraction form
   1,530.13/2,111.57 = 831.50/x
3. Step 3: Cross multiply
   1,530.13x = 2,111.57 × 831.50
4. Step 4: Simplify right side
   1,530.13x = 1,755,770.46
5. Step 5: Solve for x
   x = 1,755,770.46/1,530.13
6. Step 6: Final answer
   x = 1,147.46