Finding the Fourth Proportional to 5,947.34, 8,171.81 and 5,563.40

Step by Step Solution

1. Step 1: Write the proportion equation
   5,947.34 : 8,171.81 = 5,563.40 : x
2. Step 2: Convert to fraction form
   5,947.34/8,171.81 = 5,563.40/x
3. Step 3: Cross multiply
   5,947.34x = 8,171.81 × 5,563.40
4. Step 4: Simplify right side
   5,947.34x = 45,462,999.94
5. Step 5: Solve for x
   x = 45,462,999.94/5,947.34
6. Step 6: Final answer
   x = 7,644.26