Finding the Fourth Proportional to 3,638.82, 5,021.53 and 2,066.88

Step by Step Solution

1. Step 1: Write the proportion equation
   3,638.82 : 5,021.53 = 2,066.88 : x
2. Step 2: Convert to fraction form
   3,638.82/5,021.53 = 2,066.88/x
3. Step 3: Cross multiply
   3,638.82x = 5,021.53 × 2,066.88
4. Step 4: Simplify right side
   3,638.82x = 10,378,899.93
5. Step 5: Solve for x
   x = 10,378,899.93/3,638.82
6. Step 6: Final answer
   x = 2,852.27