Finding the Fourth Proportional to 100,142.56, 138,049.50 and 76,227.58

Step by Step Solution

1. Step 1: Write the proportion equation
   100,142.56 : 138,049.50 = 76,227.58 : x
2. Step 2: Convert to fraction form
   100,142.56/138,049.50 = 76,227.58/x
3. Step 3: Cross multiply
   100,142.56x = 138,049.50 × 76,227.58
4. Step 4: Simplify right side
   100,142.56x = 10,523,179,305.21
5. Step 5: Solve for x
   x = 10,523,179,305.21/100,142.56
6. Step 6: Final answer
   x = 105,081.99