Finding the Fourth Proportional to 2,080.82, 3,120.75 and 782.42

Step by Step Solution

1. Step 1: Write the proportion equation
   2,080.82 : 3,120.75 = 782.42 : x
2. Step 2: Convert to fraction form
   2,080.82/3,120.75 = 782.42/x
3. Step 3: Cross multiply
   2,080.82x = 3,120.75 × 782.42
4. Step 4: Simplify right side
   2,080.82x = 2,441,737.22
5. Step 5: Solve for x
   x = 2,441,737.22/2,080.82
6. Step 6: Final answer
   x = 1,173.45