Finding the Fourth Proportional to 78,096.32, 117,757.12 and 71,564.48

Step by Step Solution

1. Step 1: Write the proportion equation
   78,096.32 : 117,757.12 = 71,564.48 : x
2. Step 2: Convert to fraction form
   78,096.32/117,757.12 = 71,564.48/x
3. Step 3: Cross multiply
   78,096.32x = 117,757.12 × 71,564.48
4. Step 4: Simplify right side
   78,096.32x = 8,427,227,059.10
5. Step 5: Solve for x
   x = 8,427,227,059.10/78,096.32
6. Step 6: Final answer
   x = 107,908.12