Finding the Fourth Proportional to 2,081.98, 3,121.05 and 782.62

Step by Step Solution

1. Step 1: Write the proportion equation
   2,081.98 : 3,121.05 = 782.62 : x
2. Step 2: Convert to fraction form
   2,081.98/3,121.05 = 782.62/x
3. Step 3: Cross multiply
   2,081.98x = 3,121.05 × 782.62
4. Step 4: Simplify right side
   2,081.98x = 2,442,596.15
5. Step 5: Solve for x
   x = 2,442,596.15/2,081.98
6. Step 6: Final answer
   x = 1,173.21