Finding the Fourth Proportional to 9,574.50, 13,212.81 and 5,382.78

Step by Step Solution

1. Step 1: Write the proportion equation
   9,574.50 : 13,212.81 = 5,382.78 : x
2. Step 2: Convert to fraction form
   9,574.50/13,212.81 = 5,382.78/x
3. Step 3: Cross multiply
   9,574.50x = 13,212.81 × 5,382.78
4. Step 4: Simplify right side
   9,574.50x = 71,121,649.41
5. Step 5: Solve for x
   x = 71,121,649.41/9,574.50
6. Step 6: Final answer
   x = 7,428.24