Finding the Fourth Proportional to 10,078.76, 13,908.24 and 5,829.14

Step by Step Solution

1. Step 1: Write the proportion equation
   10,078.76 : 13,908.24 = 5,829.14 : x
2. Step 2: Convert to fraction form
   10,078.76/13,908.24 = 5,829.14/x
3. Step 3: Cross multiply
   10,078.76x = 13,908.24 × 5,829.14
4. Step 4: Simplify right side
   10,078.76x = 81,073,112.88
5. Step 5: Solve for x
   x = 81,073,112.88/10,078.76
6. Step 6: Final answer
   x = 8,043.96