Finding the Fourth Proportional to 12,096.32, 18,178.80 and 7,166.96

Step by Step Solution

1. Step 1: Write the proportion equation
   12,096.32 : 18,178.80 = 7,166.96 : x
2. Step 2: Convert to fraction form
   12,096.32/18,178.80 = 7,166.96/x
3. Step 3: Cross multiply
   12,096.32x = 18,178.80 × 7,166.96
4. Step 4: Simplify right side
   12,096.32x = 130,286,732.45
5. Step 5: Solve for x
   x = 130,286,732.45/12,096.32
6. Step 6: Final answer
   x = 10,770.77