Finding the Fourth Proportional to 1,083.82, 1,495.67 and 586.46

Step by Step Solution

1. Step 1: Write the proportion equation
   1,083.82 : 1,495.67 = 586.46 : x
2. Step 2: Convert to fraction form
   1,083.82/1,495.67 = 586.46/x
3. Step 3: Cross multiply
   1,083.82x = 1,495.67 × 586.46
4. Step 4: Simplify right side
   1,083.82x = 877,146.89
5. Step 5: Solve for x
   x = 877,146.89/1,083.82
6. Step 6: Final answer
   x = 809.31