Finding the Fourth Proportional to 10,127.84, 13,976.10 and 5,878.76

Step by Step Solution

1. Step 1: Write the proportion equation
   10,127.84 : 13,976.10 = 5,878.76 : x
2. Step 2: Convert to fraction form
   10,127.84/13,976.10 = 5,878.76/x
3. Step 3: Cross multiply
   10,127.84x = 13,976.10 × 5,878.76
4. Step 4: Simplify right side
   10,127.84x = 82,162,137.64
5. Step 5: Solve for x
   x = 82,162,137.64/10,127.84
6. Step 6: Final answer
   x = 8,112.50