Finding the Fourth Proportional to 2,582.79, 3,848.53 and 2,457.27

Step by Step Solution

1. Step 1: Write the proportion equation
   2,582.79 : 3,848.53 = 2,457.27 : x
2. Step 2: Convert to fraction form
   2,582.79/3,848.53 = 2,457.27/x
3. Step 3: Cross multiply
   2,582.79x = 3,848.53 × 2,457.27
4. Step 4: Simplify right side
   2,582.79x = 9,456,875.78
5. Step 5: Solve for x
   x = 9,456,875.78/2,582.79
6. Step 6: Final answer
   x = 3,661.50