Finding the Fourth Proportional to 9,574.56, 13,212.18 and 5,382

Step by Step Solution

1. Step 1: Write the proportion equation
   9,574.56 : 13,212.18 = 5,382 : x
2. Step 2: Convert to fraction form
   9,574.56/13,212.18 = 5,382/x
3. Step 3: Cross multiply
   9,574.56x = 13,212.18 × 5,382
4. Step 4: Simplify right side
   9,574.56x = 71,107,952.76
5. Step 5: Solve for x
   x = 71,107,952.76/9,574.56
6. Step 6: Final answer
   x = 7,426.76