Finding the Fourth Proportional to 3,690.01, 5,493.86 and 3,638.31

Step by Step Solution

1. Step 1: Write the proportion equation
   3,690.01 : 5,493.86 = 3,638.31 : x
2. Step 2: Convert to fraction form
   3,690.01/5,493.86 = 3,638.31/x
3. Step 3: Cross multiply
   3,690.01x = 5,493.86 × 3,638.31
4. Step 4: Simplify right side
   3,690.01x = 19,988,365.78
5. Step 5: Solve for x
   x = 19,988,365.78/3,690.01
6. Step 6: Final answer
   x = 5,416.89