Finding the Fourth Proportional to 1,083.89, 1,495.77 and 586.53

Step by Step Solution

1. Step 1: Write the proportion equation
   1,083.89 : 1,495.77 = 586.53 : x
2. Step 2: Convert to fraction form
   1,083.89/1,495.77 = 586.53/x
3. Step 3: Cross multiply
   1,083.89x = 1,495.77 × 586.53
4. Step 4: Simplify right side
   1,083.89x = 877,309.55
5. Step 5: Solve for x
   x = 877,309.55/1,083.89
6. Step 6: Final answer
   x = 809.41