Finding the Fourth Proportional to 9,541.71, 13,169.45 and 5,563.46

Step by Step Solution

1. Step 1: Write the proportion equation
   9,541.71 : 13,169.45 = 5,563.46 : x
2. Step 2: Convert to fraction form
   9,541.71/13,169.45 = 5,563.46/x
3. Step 3: Cross multiply
   9,541.71x = 13,169.45 × 5,563.46
4. Step 4: Simplify right side
   9,541.71x = 73,267,708.30
5. Step 5: Solve for x
   x = 73,267,708.30/9,541.71
6. Step 6: Final answer
   x = 7,678.68