Finding the Fourth Proportional to 11,778, 17,673.48 and 5,622

Step by Step Solution

1. Step 1: Write the proportion equation
   11,778 : 17,673.48 = 5,622 : x
2. Step 2: Convert to fraction form
   11,778/17,673.48 = 5,622/x
3. Step 3: Cross multiply
   11,778x = 17,673.48 × 5,622
4. Step 4: Simplify right side
   11,778x = 99,360,304.56
5. Step 5: Solve for x
   x = 99,360,304.56/11,778
6. Step 6: Final answer
   x = 8,436.09