Finding the Fourth Proportional to 3,727.67, 5,602.10 and 3,589.61

Step by Step Solution

1. Step 1: Write the proportion equation
   3,727.67 : 5,602.10 = 3,589.61 : x
2. Step 2: Convert to fraction form
   3,727.67/5,602.10 = 3,589.61/x
3. Step 3: Cross multiply
   3,727.67x = 5,602.10 × 3,589.61
4. Step 4: Simplify right side
   3,727.67x = 20,109,308.22
5. Step 5: Solve for x
   x = 20,109,308.22/3,727.67
6. Step 6: Final answer
   x = 5,394.61