Finding the Fourth Proportional to 6,533.50, 9,003.63 and 4,171.54

Step by Step Solution

1. Step 1: Write the proportion equation
   6,533.50 : 9,003.63 = 4,171.54 : x
2. Step 2: Convert to fraction form
   6,533.50/9,003.63 = 4,171.54/x
3. Step 3: Cross multiply
   6,533.50x = 9,003.63 × 4,171.54
4. Step 4: Simplify right side
   6,533.50x = 37,559,002.69
5. Step 5: Solve for x
   x = 37,559,002.69/6,533.50
6. Step 6: Final answer
   x = 5,748.68