Finding the Fourth Proportional to 1,028.83, 1,419.77 and 556.71

Step by Step Solution

1. Step 1: Write the proportion equation
   1,028.83 : 1,419.77 = 556.71 : x
2. Step 2: Convert to fraction form
   1,028.83/1,419.77 = 556.71/x
3. Step 3: Cross multiply
   1,028.83x = 1,419.77 × 556.71
4. Step 4: Simplify right side
   1,028.83x = 790,405.46
5. Step 5: Solve for x
   x = 790,405.46/1,028.83
6. Step 6: Final answer
   x = 768.26