Finding the Fourth Proportional to 100,768.16, 151,142.56 and 30,648.16

Step by Step Solution

1. Step 1: Write the proportion equation
   100,768.16 : 151,142.56 = 30,648.16 : x
2. Step 2: Convert to fraction form
   100,768.16/151,142.56 = 30,648.16/x
3. Step 3: Cross multiply
   100,768.16x = 151,142.56 × 30,648.16
4. Step 4: Simplify right side
   100,768.16x = 4,632,241,361.69
5. Step 5: Solve for x
   x = 4,632,241,361.69/100,768.16
6. Step 6: Final answer
   x = 45,969.30