Finding the Fourth Proportional to 2,538.92, 3,808.61 and 2,080.76

Step by Step Solution

1. Step 1: Write the proportion equation
   2,538.92 : 3,808.61 = 2,080.76 : x
2. Step 2: Convert to fraction form
   2,538.92/3,808.61 = 2,080.76/x
3. Step 3: Cross multiply
   2,538.92x = 3,808.61 × 2,080.76
4. Step 4: Simplify right side
   2,538.92x = 7,924,789.50
5. Step 5: Solve for x
   x = 7,924,789.50/2,538.92
6. Step 6: Final answer
   x = 3,121.33