Finding the Fourth Proportional to 2,314.10, 3,469.89 and 1,584.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,314.10 : 3,469.89 = 1,584.50 : x
2. Step 2: Convert to fraction form
   2,314.10/3,469.89 = 1,584.50/x
3. Step 3: Cross multiply
   2,314.10x = 3,469.89 × 1,584.50
4. Step 4: Simplify right side
   2,314.10x = 5,498,040.71
5. Step 5: Solve for x
   x = 5,498,040.71/2,314.10
6. Step 6: Final answer
   x = 2,375.89