Finding the Fourth Proportional to 2,081.09, 3,122.10 and 782.57

Step by Step Solution

1. Step 1: Write the proportion equation
   2,081.09 : 3,122.10 = 782.57 : x
2. Step 2: Convert to fraction form
   2,081.09/3,122.10 = 782.57/x
3. Step 3: Cross multiply
   2,081.09x = 3,122.10 × 782.57
4. Step 4: Simplify right side
   2,081.09x = 2,443,261.80
5. Step 5: Solve for x
   x = 2,443,261.80/2,081.09
6. Step 6: Final answer
   x = 1,174.03