Finding the Fourth Proportional to 9,538.44, 13,162.98 and 5,346.69

Step by Step Solution

1. Step 1: Write the proportion equation
   9,538.44 : 13,162.98 = 5,346.69 : x
2. Step 2: Convert to fraction form
   9,538.44/13,162.98 = 5,346.69/x
3. Step 3: Cross multiply
   9,538.44x = 13,162.98 × 5,346.69
4. Step 4: Simplify right side
   9,538.44x = 70,378,373.54
5. Step 5: Solve for x
   x = 70,378,373.54/9,538.44
6. Step 6: Final answer
   x = 7,378.39