Finding the Fourth Proportional to 2,081.10, 3,121.22 and 782.12

Step by Step Solution

1. Step 1: Write the proportion equation
   2,081.10 : 3,121.22 = 782.12 : x
2. Step 2: Convert to fraction form
   2,081.10/3,121.22 = 782.12/x
3. Step 3: Cross multiply
   2,081.10x = 3,121.22 × 782.12
4. Step 4: Simplify right side
   2,081.10x = 2,441,168.59
5. Step 5: Solve for x
   x = 2,441,168.59/2,081.10
6. Step 6: Final answer
   x = 1,173.02