Finding the Fourth Proportional to 2,065.90, 3,098.71 and 831.82

Step by Step Solution

1. Step 1: Write the proportion equation
   2,065.90 : 3,098.71 = 831.82 : x
2. Step 2: Convert to fraction form
   2,065.90/3,098.71 = 831.82/x
3. Step 3: Cross multiply
   2,065.90x = 3,098.71 × 831.82
4. Step 4: Simplify right side
   2,065.90x = 2,577,568.95
5. Step 5: Solve for x
   x = 2,577,568.95/2,065.90
6. Step 6: Final answer
   x = 1,247.67