Finding the Fourth Proportional to 2,014.83, 3,022.56 and 782.28

Step by Step Solution

1. Step 1: Write the proportion equation
   2,014.83 : 3,022.56 = 782.28 : x
2. Step 2: Convert to fraction form
   2,014.83/3,022.56 = 782.28/x
3. Step 3: Cross multiply
   2,014.83x = 3,022.56 × 782.28
4. Step 4: Simplify right side
   2,014.83x = 2,364,488.24
5. Step 5: Solve for x
   x = 2,364,488.24/2,014.83
6. Step 6: Final answer
   x = 1,173.54