Finding the Fourth Proportional to 2,015.57, 3,022.59 and 782.83

Step by Step Solution

1. Step 1: Write the proportion equation
   2,015.57 : 3,022.59 = 782.83 : x
2. Step 2: Convert to fraction form
   2,015.57/3,022.59 = 782.83/x
3. Step 3: Cross multiply
   2,015.57x = 3,022.59 × 782.83
4. Step 4: Simplify right side
   2,015.57x = 2,366,180.84
5. Step 5: Solve for x
   x = 2,366,180.84/2,015.57
6. Step 6: Final answer
   x = 1,173.95