Finding the Fourth Proportional to 1,028.71, 1,419.60 and 562.96

Step by Step Solution

1. Step 1: Write the proportion equation
   1,028.71 : 1,419.60 = 562.96 : x
2. Step 2: Convert to fraction form
   1,028.71/1,419.60 = 562.96/x
3. Step 3: Cross multiply
   1,028.71x = 1,419.60 × 562.96
4. Step 4: Simplify right side
   1,028.71x = 799,178.02
5. Step 5: Solve for x
   x = 799,178.02/1,028.71
6. Step 6: Final answer
   x = 776.87