Finding the Fourth Proportional to 2,584.67, 3,851.33 and 2,459.15

Step by Step Solution

1. Step 1: Write the proportion equation
   2,584.67 : 3,851.33 = 2,459.15 : x
2. Step 2: Convert to fraction form
   2,584.67/3,851.33 = 2,459.15/x
3. Step 3: Cross multiply
   2,584.67x = 3,851.33 × 2,459.15
4. Step 4: Simplify right side
   2,584.67x = 9,470,966.62
5. Step 5: Solve for x
   x = 9,470,966.62/2,584.67
6. Step 6: Final answer
   x = 3,664.29