Finding the Fourth Proportional to 10,083.24, 15,122.70 and 3,843

Step by Step Solution

1. Step 1: Write the proportion equation
   10,083.24 : 15,122.70 = 3,843 : x
2. Step 2: Convert to fraction form
   10,083.24/15,122.70 = 3,843/x
3. Step 3: Cross multiply
   10,083.24x = 15,122.70 × 3,843
4. Step 4: Simplify right side
   10,083.24x = 58,116,536.10
5. Step 5: Solve for x
   x = 58,116,536.10/10,083.24
6. Step 6: Final answer
   x = 5,763.68