Finding the Fourth Proportional to 142,414.56, 213,654.24 and 75,819.60

Step by Step Solution

1. Step 1: Write the proportion equation
   142,414.56 : 213,654.24 = 75,819.60 : x
2. Step 2: Convert to fraction form
   142,414.56/213,654.24 = 75,819.60/x
3. Step 3: Cross multiply
   142,414.56x = 213,654.24 × 75,819.60
4. Step 4: Simplify right side
   142,414.56x = 16,199,179,015.10
5. Step 5: Solve for x
   x = 16,199,179,015.10/142,414.56
6. Step 6: Final answer
   x = 113,746.65