Finding the Fourth Proportional to 9,466.78, 13,064.16 and 5,490.20

Step by Step Solution

1. Step 1: Write the proportion equation
   9,466.78 : 13,064.16 = 5,490.20 : x
2. Step 2: Convert to fraction form
   9,466.78/13,064.16 = 5,490.20/x
3. Step 3: Cross multiply
   9,466.78x = 13,064.16 × 5,490.20
4. Step 4: Simplify right side
   9,466.78x = 71,724,904.48
5. Step 5: Solve for x
   x = 71,724,904.48/9,466.78
6. Step 6: Final answer
   x = 7,576.49