Finding the Fourth Proportional to 1,363.50, 1,881.56 and 831.77

Step by Step Solution

1. Step 1: Write the proportion equation
   1,363.50 : 1,881.56 = 831.77 : x
2. Step 2: Convert to fraction form
   1,363.50/1,881.56 = 831.77/x
3. Step 3: Cross multiply
   1,363.50x = 1,881.56 × 831.77
4. Step 4: Simplify right side
   1,363.50x = 1,565,024.89
5. Step 5: Solve for x
   x = 1,565,024.89/1,363.50
6. Step 6: Final answer
   x = 1,147.80