Finding the Fourth Proportional to 1,420.50, 1,960.29 and 831.53

Step by Step Solution

1. Step 1: Write the proportion equation
   1,420.50 : 1,960.29 = 831.53 : x
2. Step 2: Convert to fraction form
   1,420.50/1,960.29 = 831.53/x
3. Step 3: Cross multiply
   1,420.50x = 1,960.29 × 831.53
4. Step 4: Simplify right side
   1,420.50x = 1,630,039.94
5. Step 5: Solve for x
   x = 1,630,039.94/1,420.50
6. Step 6: Final answer
   x = 1,147.51