Finding the Fourth Proportional to 1,028.48, 1,419.34 and 562.73

Step by Step Solution

1. Step 1: Write the proportion equation
   1,028.48 : 1,419.34 = 562.73 : x
2. Step 2: Convert to fraction form
   1,028.48/1,419.34 = 562.73/x
3. Step 3: Cross multiply
   1,028.48x = 1,419.34 × 562.73
4. Step 4: Simplify right side
   1,028.48x = 798,709.45
5. Step 5: Solve for x
   x = 798,709.45/1,028.48
6. Step 6: Final answer
   x = 776.59