Finding the Fourth Proportional to 1,083.86, 1,495.72 and 586.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,083.86 : 1,495.72 = 586.50 : x
2. Step 2: Convert to fraction form
   1,083.86/1,495.72 = 586.50/x
3. Step 3: Cross multiply
   1,083.86x = 1,495.72 × 586.50
4. Step 4: Simplify right side
   1,083.86x = 877,239.78
5. Step 5: Solve for x
   x = 877,239.78/1,083.86
6. Step 6: Final answer
   x = 809.37