Finding the Fourth Proportional to 2,540.10, 3,811.86 and 896.66

Step by Step Solution

1. Step 1: Write the proportion equation
   2,540.10 : 3,811.86 = 896.66 : x
2. Step 2: Convert to fraction form
   2,540.10/3,811.86 = 896.66/x
3. Step 3: Cross multiply
   2,540.10x = 3,811.86 × 896.66
4. Step 4: Simplify right side
   2,540.10x = 3,417,942.39
5. Step 5: Solve for x
   x = 3,417,942.39/2,540.10
6. Step 6: Final answer
   x = 1,345.59