Finding the Fourth Proportional to 10,078.10, 13,906.67 and 5,828.51

Step by Step Solution

1. Step 1: Write the proportion equation
   10,078.10 : 13,906.67 = 5,828.51 : x
2. Step 2: Convert to fraction form
   10,078.10/13,906.67 = 5,828.51/x
3. Step 3: Cross multiply
   10,078.10x = 13,906.67 × 5,828.51
4. Step 4: Simplify right side
   10,078.10x = 81,055,170.79
5. Step 5: Solve for x
   x = 81,055,170.79/10,078.10
6. Step 6: Final answer
   x = 8,042.71