Finding the Fourth Proportional to 2,582.37, 3,875.18 and 2,416.32

Step by Step Solution

1. Step 1: Write the proportion equation
   2,582.37 : 3,875.18 = 2,416.32 : x
2. Step 2: Convert to fraction form
   2,582.37/3,875.18 = 2,416.32/x
3. Step 3: Cross multiply
   2,582.37x = 3,875.18 × 2,416.32
4. Step 4: Simplify right side
   2,582.37x = 9,363,662.86
5. Step 5: Solve for x
   x = 9,363,662.86/2,582.37
6. Step 6: Final answer
   x = 3,626.00