Finding the Fourth Proportional to 9,766.54, 13,478.79 and 5,575.42

Step by Step Solution

1. Step 1: Write the proportion equation
   9,766.54 : 13,478.79 = 5,575.42 : x
2. Step 2: Convert to fraction form
   9,766.54/13,478.79 = 5,575.42/x
3. Step 3: Cross multiply
   9,766.54x = 13,478.79 × 5,575.42
4. Step 4: Simplify right side
   9,766.54x = 75,149,915.34
5. Step 5: Solve for x
   x = 75,149,915.34/9,766.54
6. Step 6: Final answer
   x = 7,694.63