Finding the Fourth Proportional to 9,942.34, 13,720.42 and 5,466.38

Step by Step Solution

1. Step 1: Write the proportion equation
   9,942.34 : 13,720.42 = 5,466.38 : x
2. Step 2: Convert to fraction form
   9,942.34/13,720.42 = 5,466.38/x
3. Step 3: Cross multiply
   9,942.34x = 13,720.42 × 5,466.38
4. Step 4: Simplify right side
   9,942.34x = 75,001,029.48
5. Step 5: Solve for x
   x = 75,001,029.48/9,942.34
6. Step 6: Final answer
   x = 7,543.60