Finding the Fourth Proportional to 10,142.20, 13,984.50 and 7,441.12

Step by Step Solution

1. Step 1: Write the proportion equation
   10,142.20 : 13,984.50 = 7,441.12 : x
2. Step 2: Convert to fraction form
   10,142.20/13,984.50 = 7,441.12/x
3. Step 3: Cross multiply
   10,142.20x = 13,984.50 × 7,441.12
4. Step 4: Simplify right side
   10,142.20x = 104,060,342.64
5. Step 5: Solve for x
   x = 104,060,342.64/10,142.20
6. Step 6: Final answer
   x = 10,260.14