Finding the Fourth Proportional to 2,046.24, 3,069.32 and 585.41

Step by Step Solution

1. Step 1: Write the proportion equation
   2,046.24 : 3,069.32 = 585.41 : x
2. Step 2: Convert to fraction form
   2,046.24/3,069.32 = 585.41/x
3. Step 3: Cross multiply
   2,046.24x = 3,069.32 × 585.41
4. Step 4: Simplify right side
   2,046.24x = 1,796,792.35
5. Step 5: Solve for x
   x = 1,796,792.35/2,046.24
6. Step 6: Final answer
   x = 878.09