Finding the Fourth Proportional to 2,046.57, 3,069.50 and 585.33

Step by Step Solution

1. Step 1: Write the proportion equation
   2,046.57 : 3,069.50 = 585.33 : x
2. Step 2: Convert to fraction form
   2,046.57/3,069.50 = 585.33/x
3. Step 3: Cross multiply
   2,046.57x = 3,069.50 × 585.33
4. Step 4: Simplify right side
   2,046.57x = 1,796,656.00
5. Step 5: Solve for x
   x = 1,796,656.00/2,046.57
6. Step 6: Final answer
   x = 877.89