Finding the Fourth Proportional to 10,128.06, 13,976.79 and 5,936.34

Step by Step Solution

1. Step 1: Write the proportion equation
   10,128.06 : 13,976.79 = 5,936.34 : x
2. Step 2: Convert to fraction form
   10,128.06/13,976.79 = 5,936.34/x
3. Step 3: Cross multiply
   10,128.06x = 13,976.79 × 5,936.34
4. Step 4: Simplify right side
   10,128.06x = 82,970,977.55
5. Step 5: Solve for x
   x = 82,970,977.55/10,128.06
6. Step 6: Final answer
   x = 8,192.19