Finding the Fourth Proportional to 3,839.47, 5,754.17 and 3,742.88

Step by Step Solution

1. Step 1: Write the proportion equation
   3,839.47 : 5,754.17 = 3,742.88 : x
2. Step 2: Convert to fraction form
   3,839.47/5,754.17 = 3,742.88/x
3. Step 3: Cross multiply
   3,839.47x = 5,754.17 × 3,742.88
4. Step 4: Simplify right side
   3,839.47x = 21,537,148.40
5. Step 5: Solve for x
   x = 21,537,148.40/3,839.47
6. Step 6: Final answer
   x = 5,609.41