Finding the Fourth Proportional to 9,574.32, 13,212.42 and 5,382.54

Step by Step Solution

1. Step 1: Write the proportion equation
   9,574.32 : 13,212.42 = 5,382.54 : x
2. Step 2: Convert to fraction form
   9,574.32/13,212.42 = 5,382.54/x
3. Step 3: Cross multiply
   9,574.32x = 13,212.42 × 5,382.54
4. Step 4: Simplify right side
   9,574.32x = 71,116,379.15
5. Step 5: Solve for x
   x = 71,116,379.15/9,574.32
6. Step 6: Final answer
   x = 7,427.83