Finding the Fourth Proportional to 9,738.16, 13,438.72 and 5,546.72

Step by Step Solution

1. Step 1: Write the proportion equation
   9,738.16 : 13,438.72 = 5,546.72 : x
2. Step 2: Convert to fraction form
   9,738.16/13,438.72 = 5,546.72/x
3. Step 3: Cross multiply
   9,738.16x = 13,438.72 × 5,546.72
4. Step 4: Simplify right side
   9,738.16x = 74,540,817.00
5. Step 5: Solve for x
   x = 74,540,817.00/9,738.16
6. Step 6: Final answer
   x = 7,654.51