Finding the Fourth Proportional to 3,978.82, 5,975.16 and 3,665.88

Step by Step Solution

1. Step 1: Write the proportion equation
   3,978.82 : 5,975.16 = 3,665.88 : x
2. Step 2: Convert to fraction form
   3,978.82/5,975.16 = 3,665.88/x
3. Step 3: Cross multiply
   3,978.82x = 5,975.16 × 3,665.88
4. Step 4: Simplify right side
   3,978.82x = 21,904,240.64
5. Step 5: Solve for x
   x = 21,904,240.64/3,978.82
6. Step 6: Final answer
   x = 5,505.21