Finding the Fourth Proportional to 9,538.29, 13,162.28 and 5,346.45

Step by Step Solution

1. Step 1: Write the proportion equation
   9,538.29 : 13,162.28 = 5,346.45 : x
2. Step 2: Convert to fraction form
   9,538.29/13,162.28 = 5,346.45/x
3. Step 3: Cross multiply
   9,538.29x = 13,162.28 × 5,346.45
4. Step 4: Simplify right side
   9,538.29x = 70,371,445.17
5. Step 5: Solve for x
   x = 70,371,445.17/9,538.29
6. Step 6: Final answer
   x = 7,377.78