Finding the Fourth Proportional to 9,538.02, 13,162.41 and 5,346.36

Step by Step Solution

1. Step 1: Write the proportion equation
   9,538.02 : 13,162.41 = 5,346.36 : x
2. Step 2: Convert to fraction form
   9,538.02/13,162.41 = 5,346.36/x
3. Step 3: Cross multiply
   9,538.02x = 13,162.41 × 5,346.36
4. Step 4: Simplify right side
   9,538.02x = 70,370,982.33
5. Step 5: Solve for x
   x = 70,370,982.33/9,538.02
6. Step 6: Final answer
   x = 7,377.94