Finding the Fourth Proportional to 2,045.14, 3,067.72 and 584.30

Step by Step Solution

1. Step 1: Write the proportion equation
   2,045.14 : 3,067.72 = 584.30 : x
2. Step 2: Convert to fraction form
   2,045.14/3,067.72 = 584.30/x
3. Step 3: Cross multiply
   2,045.14x = 3,067.72 × 584.30
4. Step 4: Simplify right side
   2,045.14x = 1,792,475.00
5. Step 5: Solve for x
   x = 1,792,475.00/2,045.14
6. Step 6: Final answer
   x = 876.46