Finding the Fourth Proportional to 2,540.84, 3,807.86 and 1,078.16

Step by Step Solution

1. Step 1: Write the proportion equation
   2,540.84 : 3,807.86 = 1,078.16 : x
2. Step 2: Convert to fraction form
   2,540.84/3,807.86 = 1,078.16/x
3. Step 3: Cross multiply
   2,540.84x = 3,807.86 × 1,078.16
4. Step 4: Simplify right side
   2,540.84x = 4,105,457.91
5. Step 5: Solve for x
   x = 4,105,457.91/2,540.84
6. Step 6: Final answer
   x = 1,615.79