Finding the Fourth Proportional to 1,028.69, 1,419.59 and 562.94

Step by Step Solution

1. Step 1: Write the proportion equation
   1,028.69 : 1,419.59 = 562.94 : x
2. Step 2: Convert to fraction form
   1,028.69/1,419.59 = 562.94/x
3. Step 3: Cross multiply
   1,028.69x = 1,419.59 × 562.94
4. Step 4: Simplify right side
   1,028.69x = 799,143.99
5. Step 5: Solve for x
   x = 799,143.99/1,028.69
6. Step 6: Final answer
   x = 776.86