Finding the Fourth Proportional to 9,942.89, 13,720.82 and 5,466.37

Step by Step Solution

1. Step 1: Write the proportion equation
   9,942.89 : 13,720.82 = 5,466.37 : x
2. Step 2: Convert to fraction form
   9,942.89/13,720.82 = 5,466.37/x
3. Step 3: Cross multiply
   9,942.89x = 13,720.82 × 5,466.37
4. Step 4: Simplify right side
   9,942.89x = 75,003,078.82
5. Step 5: Solve for x
   x = 75,003,078.82/9,942.89
6. Step 6: Final answer
   x = 7,543.39