Finding the Fourth Proportional to 2,016.45, 3,023.25 and 782.82

Step by Step Solution

1. Step 1: Write the proportion equation
   2,016.45 : 3,023.25 = 782.82 : x
2. Step 2: Convert to fraction form
   2,016.45/3,023.25 = 782.82/x
3. Step 3: Cross multiply
   2,016.45x = 3,023.25 × 782.82
4. Step 4: Simplify right side
   2,016.45x = 2,366,656.65
5. Step 5: Solve for x
   x = 2,366,656.65/2,016.45
6. Step 6: Final answer
   x = 1,173.67