Finding the Fourth Proportional to 10,127.94, 13,976.19 and 5,936.10

Step by Step Solution

1. Step 1: Write the proportion equation
   10,127.94 : 13,976.19 = 5,936.10 : x
2. Step 2: Convert to fraction form
   10,127.94/13,976.19 = 5,936.10/x
3. Step 3: Cross multiply
   10,127.94x = 13,976.19 × 5,936.10
4. Step 4: Simplify right side
   10,127.94x = 82,964,061.46
5. Step 5: Solve for x
   x = 82,964,061.46/10,127.94
6. Step 6: Final answer
   x = 8,191.60