Finding the Fourth Proportional to 10,096.89, 13,928.92 and 7,114.37

Step by Step Solution

1. Step 1: Write the proportion equation
   10,096.89 : 13,928.92 = 7,114.37 : x
2. Step 2: Convert to fraction form
   10,096.89/13,928.92 = 7,114.37/x
3. Step 3: Cross multiply
   10,096.89x = 13,928.92 × 7,114.37
4. Step 4: Simplify right side
   10,096.89x = 99,095,490.58
5. Step 5: Solve for x
   x = 99,095,490.58/10,096.89
6. Step 6: Final answer
   x = 9,814.46