Finding the Fourth Proportional to 9,954.54, 13,735.50 and 5,647.42

Step by Step Solution

1. Step 1: Write the proportion equation
   9,954.54 : 13,735.50 = 5,647.42 : x
2. Step 2: Convert to fraction form
   9,954.54/13,735.50 = 5,647.42/x
3. Step 3: Cross multiply
   9,954.54x = 13,735.50 × 5,647.42
4. Step 4: Simplify right side
   9,954.54x = 77,570,137.41
5. Step 5: Solve for x
   x = 77,570,137.41/9,954.54
6. Step 6: Final answer
   x = 7,792.44