Finding the Fourth Proportional to 2,046.78, 3,069.65 and 585.94

Step by Step Solution

1. Step 1: Write the proportion equation
   2,046.78 : 3,069.65 = 585.94 : x
2. Step 2: Convert to fraction form
   2,046.78/3,069.65 = 585.94/x
3. Step 3: Cross multiply
   2,046.78x = 3,069.65 × 585.94
4. Step 4: Simplify right side
   2,046.78x = 1,798,630.72
5. Step 5: Solve for x
   x = 1,798,630.72/2,046.78
6. Step 6: Final answer
   x = 878.76