Finding the Fourth Proportional to 5,564.81, 8,345.51 and 3,665.05

Step by Step Solution

1. Step 1: Write the proportion equation
   5,564.81 : 8,345.51 = 3,665.05 : x
2. Step 2: Convert to fraction form
   5,564.81/8,345.51 = 3,665.05/x
3. Step 3: Cross multiply
   5,564.81x = 8,345.51 × 3,665.05
4. Step 4: Simplify right side
   5,564.81x = 30,586,685.98
5. Step 5: Solve for x
   x = 30,586,685.98/5,564.81
6. Step 6: Final answer
   x = 5,496.45