Finding the Fourth Proportional to 10,142.48, 15,206.56 and 3,897.23

Step by Step Solution

1. Step 1: Write the proportion equation
   10,142.48 : 15,206.56 = 3,897.23 : x
2. Step 2: Convert to fraction form
   10,142.48/15,206.56 = 3,897.23/x
3. Step 3: Cross multiply
   10,142.48x = 15,206.56 × 3,897.23
4. Step 4: Simplify right side
   10,142.48x = 59,263,376.05
5. Step 5: Solve for x
   x = 59,263,376.05/10,142.48
6. Step 6: Final answer
   x = 5,843.08