Finding the Fourth Proportional to 3,767.40, 5,642.46 and 3,685.32

Step by Step Solution

1. Step 1: Write the proportion equation
   3,767.40 : 5,642.46 = 3,685.32 : x
2. Step 2: Convert to fraction form
   3,767.40/5,642.46 = 3,685.32/x
3. Step 3: Cross multiply
   3,767.40x = 5,642.46 × 3,685.32
4. Step 4: Simplify right side
   3,767.40x = 20,794,270.69
5. Step 5: Solve for x
   x = 20,794,270.69/3,767.40
6. Step 6: Final answer
   x = 5,519.53