Finding the Fourth Proportional to 1,028.96, 1,419.83 and 586.77

Step by Step Solution

1. Step 1: Write the proportion equation
   1,028.96 : 1,419.83 = 586.77 : x
2. Step 2: Convert to fraction form
   1,028.96/1,419.83 = 586.77/x
3. Step 3: Cross multiply
   1,028.96x = 1,419.83 × 586.77
4. Step 4: Simplify right side
   1,028.96x = 833,110.72
5. Step 5: Solve for x
   x = 833,110.72/1,028.96
6. Step 6: Final answer
   x = 809.67