Finding the Fourth Proportional to 6,456, 8,909.28 and 3,661.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,456 : 8,909.28 = 3,661.50 : x
2. Step 2: Convert to fraction form
   6,456/8,909.28 = 3,661.50/x
3. Step 3: Cross multiply
   6,456x = 8,909.28 × 3,661.50
4. Step 4: Simplify right side
   6,456x = 32,621,328.72
5. Step 5: Solve for x
   x = 32,621,328.72/6,456
6. Step 6: Final answer
   x = 5,052.87