Finding the Fourth Proportional to 9,942.83, 13,721.43 and 5,466.92

Step by Step Solution

1. Step 1: Write the proportion equation
   9,942.83 : 13,721.43 = 5,466.92 : x
2. Step 2: Convert to fraction form
   9,942.83/13,721.43 = 5,466.92/x
3. Step 3: Cross multiply
   9,942.83x = 13,721.43 × 5,466.92
4. Step 4: Simplify right side
   9,942.83x = 75,013,960.10
5. Step 5: Solve for x
   x = 75,013,960.10/9,942.83
6. Step 6: Final answer
   x = 7,544.53