Finding the Fourth Proportional to 2,864.17, 3,941.10 and 2,778.58

Step by Step Solution

1. Step 1: Write the proportion equation
   2,864.17 : 3,941.10 = 2,778.58 : x
2. Step 2: Convert to fraction form
   2,864.17/3,941.10 = 2,778.58/x
3. Step 3: Cross multiply
   2,864.17x = 3,941.10 × 2,778.58
4. Step 4: Simplify right side
   2,864.17x = 10,950,661.64
5. Step 5: Solve for x
   x = 10,950,661.64/2,864.17
6. Step 6: Final answer
   x = 3,823.33