Finding the Fourth Proportional to 3,746.48, 5,626.10 and 3,589.75

Step by Step Solution

1. Step 1: Write the proportion equation
   3,746.48 : 5,626.10 = 3,589.75 : x
2. Step 2: Convert to fraction form
   3,746.48/5,626.10 = 3,589.75/x
3. Step 3: Cross multiply
   3,746.48x = 5,626.10 × 3,589.75
4. Step 4: Simplify right side
   3,746.48x = 20,196,287.38
5. Step 5: Solve for x
   x = 20,196,287.38/3,746.48
6. Step 6: Final answer
   x = 5,390.73