Finding the Fourth Proportional to 1,029.04, 1,419.98 and 586.83

Step by Step Solution

1. Step 1: Write the proportion equation
   1,029.04 : 1,419.98 = 586.83 : x
2. Step 2: Convert to fraction form
   1,029.04/1,419.98 = 586.83/x
3. Step 3: Cross multiply
   1,029.04x = 1,419.98 × 586.83
4. Step 4: Simplify right side
   1,029.04x = 833,284.57
5. Step 5: Solve for x
   x = 833,284.57/1,029.04
6. Step 6: Final answer
   x = 809.77