Finding the Fourth Proportional to 2,046.28, 3,068.86 and 585.40

Step by Step Solution

1. Step 1: Write the proportion equation
   2,046.28 : 3,068.86 = 585.40 : x
2. Step 2: Convert to fraction form
   2,046.28/3,068.86 = 585.40/x
3. Step 3: Cross multiply
   2,046.28x = 3,068.86 × 585.40
4. Step 4: Simplify right side
   2,046.28x = 1,796,510.64
5. Step 5: Solve for x
   x = 1,796,510.64/2,046.28
6. Step 6: Final answer
   x = 877.94