Finding the Fourth Proportional to 10,129.76, 13,976.82 and 5,878.35

Step by Step Solution

1. Step 1: Write the proportion equation
   10,129.76 : 13,976.82 = 5,878.35 : x
2. Step 2: Convert to fraction form
   10,129.76/13,976.82 = 5,878.35/x
3. Step 3: Cross multiply
   10,129.76x = 13,976.82 × 5,878.35
4. Step 4: Simplify right side
   10,129.76x = 82,160,639.85
5. Step 5: Solve for x
   x = 82,160,639.85/10,129.76
6. Step 6: Final answer
   x = 8,110.82