Finding the Fourth Proportional to 1,084.31, 1,496.33 and 586.94

Step by Step Solution

1. Step 1: Write the proportion equation
   1,084.31 : 1,496.33 = 586.94 : x
2. Step 2: Convert to fraction form
   1,084.31/1,496.33 = 586.94/x
3. Step 3: Cross multiply
   1,084.31x = 1,496.33 × 586.94
4. Step 4: Simplify right side
   1,084.31x = 878,255.93
5. Step 5: Solve for x
   x = 878,255.93/1,084.31
6. Step 6: Final answer
   x = 809.97