Finding the Fourth Proportional to 3,564.72, 5,342.20 and 2,005.48

Step by Step Solution

1. Step 1: Write the proportion equation
   3,564.72 : 5,342.20 = 2,005.48 : x
2. Step 2: Convert to fraction form
   3,564.72/5,342.20 = 2,005.48/x
3. Step 3: Cross multiply
   3,564.72x = 5,342.20 × 2,005.48
4. Step 4: Simplify right side
   3,564.72x = 10,713,675.26
5. Step 5: Solve for x
   x = 10,713,675.26/3,564.72
6. Step 6: Final answer
   x = 3,005.47