Finding the Fourth Proportional to 10,096.02, 13,902.55 and 7,258.40

Step by Step Solution

1. Step 1: Write the proportion equation
   10,096.02 : 13,902.55 = 7,258.40 : x
2. Step 2: Convert to fraction form
   10,096.02/13,902.55 = 7,258.40/x
3. Step 3: Cross multiply
   10,096.02x = 13,902.55 × 7,258.40
4. Step 4: Simplify right side
   10,096.02x = 100,910,268.92
5. Step 5: Solve for x
   x = 100,910,268.92/10,096.02
6. Step 6: Final answer
   x = 9,995.05