Finding the Fourth Proportional to 1,028.50, 1,419.34 and 562.76

Step by Step Solution

1. Step 1: Write the proportion equation
   1,028.50 : 1,419.34 = 562.76 : x
2. Step 2: Convert to fraction form
   1,028.50/1,419.34 = 562.76/x
3. Step 3: Cross multiply
   1,028.50x = 1,419.34 × 562.76
4. Step 4: Simplify right side
   1,028.50x = 798,747.78
5. Step 5: Solve for x
   x = 798,747.78/1,028.50
6. Step 6: Final answer
   x = 776.61