Finding the Fourth Proportional to 2,016.24, 3,023.86 and 782.86

Step by Step Solution

1. Step 1: Write the proportion equation
   2,016.24 : 3,023.86 = 782.86 : x
2. Step 2: Convert to fraction form
   2,016.24/3,023.86 = 782.86/x
3. Step 3: Cross multiply
   2,016.24x = 3,023.86 × 782.86
4. Step 4: Simplify right side
   2,016.24x = 2,367,259.04
5. Step 5: Solve for x
   x = 2,367,259.04/2,016.24
6. Step 6: Final answer
   x = 1,174.10