Finding the Fourth Proportional to 77,142.56, 115,729.32 and 32,768.96

Step by Step Solution

1. Step 1: Write the proportion equation
   77,142.56 : 115,729.32 = 32,768.96 : x
2. Step 2: Convert to fraction form
   77,142.56/115,729.32 = 32,768.96/x
3. Step 3: Cross multiply
   77,142.56x = 115,729.32 × 32,768.96
4. Step 4: Simplify right side
   77,142.56x = 3,792,329,457.91
5. Step 5: Solve for x
   x = 3,792,329,457.91/77,142.56
6. Step 6: Final answer
   x = 49,160.02