Finding the Fourth Proportional to 3,978.49, 5,975.16 and 3,653.41

Step by Step Solution

1. Step 1: Write the proportion equation
   3,978.49 : 5,975.16 = 3,653.41 : x
2. Step 2: Convert to fraction form
   3,978.49/5,975.16 = 3,653.41/x
3. Step 3: Cross multiply
   3,978.49x = 5,975.16 × 3,653.41
4. Step 4: Simplify right side
   3,978.49x = 21,829,709.30
5. Step 5: Solve for x
   x = 21,829,709.30/3,978.49
6. Step 6: Final answer
   x = 5,486.93