Finding the Fourth Proportional to 9,942.30, 13,720.39 and 5,466.13

Step by Step Solution

1. Step 1: Write the proportion equation
   9,942.30 : 13,720.39 = 5,466.13 : x
2. Step 2: Convert to fraction form
   9,942.30/13,720.39 = 5,466.13/x
3. Step 3: Cross multiply
   9,942.30x = 13,720.39 × 5,466.13
4. Step 4: Simplify right side
   9,942.30x = 74,997,373.76
5. Step 5: Solve for x
   x = 74,997,373.76/9,942.30
6. Step 6: Final answer
   x = 7,543.26