Finding the Fourth Proportional to 10,096.64, 15,172.74 and 5,420.10

Step by Step Solution

1. Step 1: Write the proportion equation
   10,096.64 : 15,172.74 = 5,420.10 : x
2. Step 2: Convert to fraction form
   10,096.64/15,172.74 = 5,420.10/x
3. Step 3: Cross multiply
   10,096.64x = 15,172.74 × 5,420.10
4. Step 4: Simplify right side
   10,096.64x = 82,237,768.07
5. Step 5: Solve for x
   x = 82,237,768.07/10,096.64
6. Step 6: Final answer
   x = 8,145.07