Finding the Fourth Proportional to 3,685.61, 5,524.07 and 3,644.51

Step by Step Solution

1. Step 1: Write the proportion equation
   3,685.61 : 5,524.07 = 3,644.51 : x
2. Step 2: Convert to fraction form
   3,685.61/5,524.07 = 3,644.51/x
3. Step 3: Cross multiply
   3,685.61x = 5,524.07 × 3,644.51
4. Step 4: Simplify right side
   3,685.61x = 20,132,482.51
5. Step 5: Solve for x
   x = 20,132,482.51/3,685.61
6. Step 6: Final answer
   x = 5,462.45