Finding the Fourth Proportional to 2,046.42, 3,069.83 and 585.79

Step by Step Solution

1. Step 1: Write the proportion equation
   2,046.42 : 3,069.83 = 585.79 : x
2. Step 2: Convert to fraction form
   2,046.42/3,069.83 = 585.79/x
3. Step 3: Cross multiply
   2,046.42x = 3,069.83 × 585.79
4. Step 4: Simplify right side
   2,046.42x = 1,798,275.72
5. Step 5: Solve for x
   x = 1,798,275.72/2,046.42
6. Step 6: Final answer
   x = 878.74