Finding the Fourth Proportional to 11,871, 17,806.41 and 4,849.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,871 : 17,806.41 = 4,849.50 : x
2. Step 2: Convert to fraction form
   11,871/17,806.41 = 4,849.50/x
3. Step 3: Cross multiply
   11,871x = 17,806.41 × 4,849.50
4. Step 4: Simplify right side
   11,871x = 86,352,185.30
5. Step 5: Solve for x
   x = 86,352,185.30/11,871
6. Step 6: Final answer
   x = 7,274.21