Finding the Fourth Proportional to 2,760.71, 4,114.76 and 2,605.05

Step by Step Solution

1. Step 1: Write the proportion equation
   2,760.71 : 4,114.76 = 2,605.05 : x
2. Step 2: Convert to fraction form
   2,760.71/4,114.76 = 2,605.05/x
3. Step 3: Cross multiply
   2,760.71x = 4,114.76 × 2,605.05
4. Step 4: Simplify right side
   2,760.71x = 10,719,142.51
5. Step 5: Solve for x
   x = 10,719,142.51/2,760.71
6. Step 6: Final answer
   x = 3,882.76