Finding the Fourth Proportional to 2,081.12, 3,122.13 and 782.59

Step by Step Solution

1. Step 1: Write the proportion equation
   2,081.12 : 3,122.13 = 782.59 : x
2. Step 2: Convert to fraction form
   2,081.12/3,122.13 = 782.59/x
3. Step 3: Cross multiply
   2,081.12x = 3,122.13 × 782.59
4. Step 4: Simplify right side
   2,081.12x = 2,443,347.72
5. Step 5: Solve for x
   x = 2,443,347.72/2,081.12
6. Step 6: Final answer
   x = 1,174.05