Finding the Fourth Proportional to 10,102.06, 13,940.94 and 5,909.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,102.06 : 13,940.94 = 5,909.50 : x
2. Step 2: Convert to fraction form
   10,102.06/13,940.94 = 5,909.50/x
3. Step 3: Cross multiply
   10,102.06x = 13,940.94 × 5,909.50
4. Step 4: Simplify right side
   10,102.06x = 82,383,984.93
5. Step 5: Solve for x
   x = 82,383,984.93/10,102.06
6. Step 6: Final answer
   x = 8,155.17