Finding the Fourth Proportional to 9,538.29, 13,162.95 and 5,346.81

Step by Step Solution

1. Step 1: Write the proportion equation
   9,538.29 : 13,162.95 = 5,346.81 : x
2. Step 2: Convert to fraction form
   9,538.29/13,162.95 = 5,346.81/x
3. Step 3: Cross multiply
   9,538.29x = 13,162.95 × 5,346.81
4. Step 4: Simplify right side
   9,538.29x = 70,379,792.69
5. Step 5: Solve for x
   x = 70,379,792.69/9,538.29
6. Step 6: Final answer
   x = 7,378.66