Finding the Fourth Proportional to 10,127.76, 13,974.06 and 5,876.35

Step by Step Solution

1. Step 1: Write the proportion equation
   10,127.76 : 13,974.06 = 5,876.35 : x
2. Step 2: Convert to fraction form
   10,127.76/13,974.06 = 5,876.35/x
3. Step 3: Cross multiply
   10,127.76x = 13,974.06 × 5,876.35
4. Step 4: Simplify right side
   10,127.76x = 82,116,467.48
5. Step 5: Solve for x
   x = 82,116,467.48/10,127.76
6. Step 6: Final answer
   x = 8,108.06