Finding the Fourth Proportional to 1,028.84, 1,419.72 and 586.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,028.84 : 1,419.72 = 586.72 : x
2. Step 2: Convert to fraction form
   1,028.84/1,419.72 = 586.72/x
3. Step 3: Cross multiply
   1,028.84x = 1,419.72 × 586.72
4. Step 4: Simplify right side
   1,028.84x = 832,978.12
5. Step 5: Solve for x
   x = 832,978.12/1,028.84
6. Step 6: Final answer
   x = 809.63