Finding the Fourth Proportional to 9,942.29, 13,720.74 and 5,466.41

Step by Step Solution

1. Step 1: Write the proportion equation
   9,942.29 : 13,720.74 = 5,466.41 : x
2. Step 2: Convert to fraction form
   9,942.29/13,720.74 = 5,466.41/x
3. Step 3: Cross multiply
   9,942.29x = 13,720.74 × 5,466.41
4. Step 4: Simplify right side
   9,942.29x = 75,003,190.34
5. Step 5: Solve for x
   x = 75,003,190.34/9,942.29
6. Step 6: Final answer
   x = 7,543.85