Finding the Fourth Proportional to 2,046.62, 3,069.39 and 585.43

Step by Step Solution

1. Step 1: Write the proportion equation
   2,046.62 : 3,069.39 = 585.43 : x
2. Step 2: Convert to fraction form
   2,046.62/3,069.39 = 585.43/x
3. Step 3: Cross multiply
   2,046.62x = 3,069.39 × 585.43
4. Step 4: Simplify right side
   2,046.62x = 1,796,907.51
5. Step 5: Solve for x
   x = 1,796,907.51/2,046.62
6. Step 6: Final answer
   x = 877.99