Finding the Fourth Proportional to 9,631.71, 13,291.34 and 5,382.75

Step by Step Solution

1. Step 1: Write the proportion equation
   9,631.71 : 13,291.34 = 5,382.75 : x
2. Step 2: Convert to fraction form
   9,631.71/13,291.34 = 5,382.75/x
3. Step 3: Cross multiply
   9,631.71x = 13,291.34 × 5,382.75
4. Step 4: Simplify right side
   9,631.71x = 71,544,013.59
5. Step 5: Solve for x
   x = 71,544,013.59/9,631.71
6. Step 6: Final answer
   x = 7,427.97