Finding the Fourth Proportional to 5,646.46, 8,468.09 and 3,563.34

Step by Step Solution

1. Step 1: Write the proportion equation
   5,646.46 : 8,468.09 = 3,563.34 : x
2. Step 2: Convert to fraction form
   5,646.46/8,468.09 = 3,563.34/x
3. Step 3: Cross multiply
   5,646.46x = 8,468.09 × 3,563.34
4. Step 4: Simplify right side
   5,646.46x = 30,174,683.82
5. Step 5: Solve for x
   x = 30,174,683.82/5,646.46
6. Step 6: Final answer
   x = 5,344.00