Finding the Fourth Proportional to 9,738.42, 13,439.79 and 5,546.58

Step by Step Solution

1. Step 1: Write the proportion equation
   9,738.42 : 13,439.79 = 5,546.58 : x
2. Step 2: Convert to fraction form
   9,738.42/13,439.79 = 5,546.58/x
3. Step 3: Cross multiply
   9,738.42x = 13,439.79 × 5,546.58
4. Step 4: Simplify right side
   9,738.42x = 74,544,870.42
5. Step 5: Solve for x
   x = 74,544,870.42/9,738.42
6. Step 6: Final answer
   x = 7,654.72