Finding the Fourth Proportional to 3,647.82, 5,471.43 and 2,005.75

Step by Step Solution

1. Step 1: Write the proportion equation
   3,647.82 : 5,471.43 = 2,005.75 : x
2. Step 2: Convert to fraction form
   3,647.82/5,471.43 = 2,005.75/x
3. Step 3: Cross multiply
   3,647.82x = 5,471.43 × 2,005.75
4. Step 4: Simplify right side
   3,647.82x = 10,974,320.72
5. Step 5: Solve for x
   x = 10,974,320.72/3,647.82
6. Step 6: Final answer
   x = 3,008.46