Finding the Fourth Proportional to 3,838.56, 5,754.78 and 3,531.06

Step by Step Solution

1. Step 1: Write the proportion equation
   3,838.56 : 5,754.78 = 3,531.06 : x
2. Step 2: Convert to fraction form
   3,838.56/5,754.78 = 3,531.06/x
3. Step 3: Cross multiply
   3,838.56x = 5,754.78 × 3,531.06
4. Step 4: Simplify right side
   3,838.56x = 20,320,473.47
5. Step 5: Solve for x
   x = 20,320,473.47/3,838.56
6. Step 6: Final answer
   x = 5,293.78