Finding the Fourth Proportional to 1,028.63, 1,419.50 and 562.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,028.63 : 1,419.50 = 562.88 : x
2. Step 2: Convert to fraction form
   1,028.63/1,419.50 = 562.88/x
3. Step 3: Cross multiply
   1,028.63x = 1,419.50 × 562.88
4. Step 4: Simplify right side
   1,028.63x = 799,002.47
5. Step 5: Solve for x
   x = 799,002.47/1,028.63
6. Step 6: Final answer
   x = 776.77