Finding the Fourth Proportional to 2,046.66, 3,069.56 and 585.42

Step by Step Solution

1. Step 1: Write the proportion equation
   2,046.66 : 3,069.56 = 585.42 : x
2. Step 2: Convert to fraction form
   2,046.66/3,069.56 = 585.42/x
3. Step 3: Cross multiply
   2,046.66x = 3,069.56 × 585.42
4. Step 4: Simplify right side
   2,046.66x = 1,796,978.89
5. Step 5: Solve for x
   x = 1,796,978.89/2,046.66
6. Step 6: Final answer
   x = 878.01