Finding the Fourth Proportional to 1,028.91, 1,419.56 and 586.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,028.91 : 1,419.56 = 586.50 : x
2. Step 2: Convert to fraction form
   1,028.91/1,419.56 = 586.50/x
3. Step 3: Cross multiply
   1,028.91x = 1,419.56 × 586.50
4. Step 4: Simplify right side
   1,028.91x = 832,569.01
5. Step 5: Solve for x
   x = 832,569.01/1,028.91
6. Step 6: Final answer
   x = 809.18