Finding the Fourth Proportional to 2,605.10, 3,911.96 and 2,584.94

Step by Step Solution

1. Step 1: Write the proportion equation
   2,605.10 : 3,911.96 = 2,584.94 : x
2. Step 2: Convert to fraction form
   2,605.10/3,911.96 = 2,584.94/x
3. Step 3: Cross multiply
   2,605.10x = 3,911.96 × 2,584.94
4. Step 4: Simplify right side
   2,605.10x = 10,112,168.78
5. Step 5: Solve for x
   x = 10,112,168.78/2,605.10
6. Step 6: Final answer
   x = 3,881.69