Finding the Fourth Proportional to 10,078.50, 13,908.39 and 5,885.94

Step by Step Solution

1. Step 1: Write the proportion equation
   10,078.50 : 13,908.39 = 5,885.94 : x
2. Step 2: Convert to fraction form
   10,078.50/13,908.39 = 5,885.94/x
3. Step 3: Cross multiply
   10,078.50x = 13,908.39 × 5,885.94
4. Step 4: Simplify right side
   10,078.50x = 81,863,949.04
5. Step 5: Solve for x
   x = 81,863,949.04/10,078.50
6. Step 6: Final answer
   x = 8,122.63