Finding the Fourth Proportional to 2,080.26, 3,119.48 and 780.82

Step by Step Solution

1. Step 1: Write the proportion equation
   2,080.26 : 3,119.48 = 780.82 : x
2. Step 2: Convert to fraction form
   2,080.26/3,119.48 = 780.82/x
3. Step 3: Cross multiply
   2,080.26x = 3,119.48 × 780.82
4. Step 4: Simplify right side
   2,080.26x = 2,435,752.37
5. Step 5: Solve for x
   x = 2,435,752.37/2,080.26
6. Step 6: Final answer
   x = 1,170.89