Finding the Fourth Proportional to 3,864.51, 5,752.35 and 3,685.23

Step by Step Solution

1. Step 1: Write the proportion equation
   3,864.51 : 5,752.35 = 3,685.23 : x
2. Step 2: Convert to fraction form
   3,864.51/5,752.35 = 3,685.23/x
3. Step 3: Cross multiply
   3,864.51x = 5,752.35 × 3,685.23
4. Step 4: Simplify right side
   3,864.51x = 21,198,732.79
5. Step 5: Solve for x
   x = 21,198,732.79/3,864.51
6. Step 6: Final answer
   x = 5,485.49