Finding the Fourth Proportional to 12,096.40, 18,146.24 and 3,777

Step by Step Solution

1. Step 1: Write the proportion equation
   12,096.40 : 18,146.24 = 3,777 : x
2. Step 2: Convert to fraction form
   12,096.40/18,146.24 = 3,777/x
3. Step 3: Cross multiply
   12,096.40x = 18,146.24 × 3,777
4. Step 4: Simplify right side
   12,096.40x = 68,538,348.48
5. Step 5: Solve for x
   x = 68,538,348.48/12,096.40
6. Step 6: Final answer
   x = 5,666.01