Finding the Fourth Proportional to 2,046.28, 3,065.64 and 1,584.58

Step by Step Solution

1. Step 1: Write the proportion equation
   2,046.28 : 3,065.64 = 1,584.58 : x
2. Step 2: Convert to fraction form
   2,046.28/3,065.64 = 1,584.58/x
3. Step 3: Cross multiply
   2,046.28x = 3,065.64 × 1,584.58
4. Step 4: Simplify right side
   2,046.28x = 4,857,751.83
5. Step 5: Solve for x
   x = 4,857,751.83/2,046.28
6. Step 6: Final answer
   x = 2,373.94