Finding the Fourth Proportional to 1,028.52, 1,419.32 and 562.76

Step by Step Solution

1. Step 1: Write the proportion equation
   1,028.52 : 1,419.32 = 562.76 : x
2. Step 2: Convert to fraction form
   1,028.52/1,419.32 = 562.76/x
3. Step 3: Cross multiply
   1,028.52x = 1,419.32 × 562.76
4. Step 4: Simplify right side
   1,028.52x = 798,736.52
5. Step 5: Solve for x
   x = 798,736.52/1,028.52
6. Step 6: Final answer
   x = 776.59