Finding the Fourth Proportional to 1,028.65, 1,419.63 and 586.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,028.65 : 1,419.63 = 586.69 : x
2. Step 2: Convert to fraction form
   1,028.65/1,419.63 = 586.69/x
3. Step 3: Cross multiply
   1,028.65x = 1,419.63 × 586.69
4. Step 4: Simplify right side
   1,028.65x = 832,882.72
5. Step 5: Solve for x
   x = 832,882.72/1,028.65
6. Step 6: Final answer
   x = 809.69