Finding the Fourth Proportional to 10,096.89, 13,928.49 and 5,902.71

Step by Step Solution

1. Step 1: Write the proportion equation
   10,096.89 : 13,928.49 = 5,902.71 : x
2. Step 2: Convert to fraction form
   10,096.89/13,928.49 = 5,902.71/x
3. Step 3: Cross multiply
   10,096.89x = 13,928.49 × 5,902.71
4. Step 4: Simplify right side
   10,096.89x = 82,215,837.21
5. Step 5: Solve for x
   x = 82,215,837.21/10,096.89
6. Step 6: Final answer
   x = 8,142.69