Finding the Fourth Proportional to 1,083.98, 1,495.90 and 586.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,083.98 : 1,495.90 = 586.63 : x
2. Step 2: Convert to fraction form
   1,083.98/1,495.90 = 586.63/x
3. Step 3: Cross multiply
   1,083.98x = 1,495.90 × 586.63
4. Step 4: Simplify right side
   1,083.98x = 877,529.40
5. Step 5: Solve for x
   x = 877,529.40/1,083.98
6. Step 6: Final answer
   x = 809.54