Finding the Fourth Proportional to 1,084.19, 1,496.18 and 586.83

Step by Step Solution

1. Step 1: Write the proportion equation
   1,084.19 : 1,496.18 = 586.83 : x
2. Step 2: Convert to fraction form
   1,084.19/1,496.18 = 586.83/x
3. Step 3: Cross multiply
   1,084.19x = 1,496.18 × 586.83
4. Step 4: Simplify right side
   1,084.19x = 878,003.31
5. Step 5: Solve for x
   x = 878,003.31/1,084.19
6. Step 6: Final answer
   x = 809.82