Finding the Fourth Proportional to 13,147.14, 18,142.56 and 7,178.76

Step by Step Solution

1. Step 1: Write the proportion equation
   13,147.14 : 18,142.56 = 7,178.76 : x
2. Step 2: Convert to fraction form
   13,147.14/18,142.56 = 7,178.76/x
3. Step 3: Cross multiply
   13,147.14x = 18,142.56 × 7,178.76
4. Step 4: Simplify right side
   13,147.14x = 130,241,084.03
5. Step 5: Solve for x
   x = 130,241,084.03/13,147.14
6. Step 6: Final answer
   x = 9,906.42