Finding the Fourth Proportional to 10,078.83, 13,906.76 and 5,886.27

Step by Step Solution

1. Step 1: Write the proportion equation
   10,078.83 : 13,906.76 = 5,886.27 : x
2. Step 2: Convert to fraction form
   10,078.83/13,906.76 = 5,886.27/x
3. Step 3: Cross multiply
   10,078.83x = 13,906.76 × 5,886.27
4. Step 4: Simplify right side
   10,078.83x = 81,858,914.75
5. Step 5: Solve for x
   x = 81,858,914.75/10,078.83
6. Step 6: Final answer
   x = 8,121.87