Finding the Fourth Proportional to 1,665.87, 2,498.32 and 495.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,665.87 : 2,498.32 = 495.82 : x
2. Step 2: Convert to fraction form
   1,665.87/2,498.32 = 495.82/x
3. Step 3: Cross multiply
   1,665.87x = 2,498.32 × 495.82
4. Step 4: Simplify right side
   1,665.87x = 1,238,717.02
5. Step 5: Solve for x
   x = 1,238,717.02/1,665.87
6. Step 6: Final answer
   x = 743.59