Finding the Fourth Proportional to 1,028.86, 1,419.83 and 586.76

Step by Step Solution

1. Step 1: Write the proportion equation
   1,028.86 : 1,419.83 = 586.76 : x
2. Step 2: Convert to fraction form
   1,028.86/1,419.83 = 586.76/x
3. Step 3: Cross multiply
   1,028.86x = 1,419.83 × 586.76
4. Step 4: Simplify right side
   1,028.86x = 833,099.45
5. Step 5: Solve for x
   x = 833,099.45/1,028.86
6. Step 6: Final answer
   x = 809.73