Finding the Fourth Proportional to 2,582.55, 3,875.04 and 2,538.81

Step by Step Solution

1. Step 1: Write the proportion equation
   2,582.55 : 3,875.04 = 2,538.81 : x
2. Step 2: Convert to fraction form
   2,582.55/3,875.04 = 2,538.81/x
3. Step 3: Cross multiply
   2,582.55x = 3,875.04 × 2,538.81
4. Step 4: Simplify right side
   2,582.55x = 9,837,990.30
5. Step 5: Solve for x
   x = 9,837,990.30/2,582.55
6. Step 6: Final answer
   x = 3,809.41