Finding the Fourth Proportional to 1,028.30, 1,419.06 and 586.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,028.30 : 1,419.06 = 586.25 : x
2. Step 2: Convert to fraction form
   1,028.30/1,419.06 = 586.25/x
3. Step 3: Cross multiply
   1,028.30x = 1,419.06 × 586.25
4. Step 4: Simplify right side
   1,028.30x = 831,916.83
5. Step 5: Solve for x
   x = 831,916.83/1,028.30
6. Step 6: Final answer
   x = 809.03