Finding the Fourth Proportional to 10,853.16, 16,281.69 and 3,837.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,853.16 : 16,281.69 = 3,837.25 : x
2. Step 2: Convert to fraction form
   10,853.16/16,281.69 = 3,837.25/x
3. Step 3: Cross multiply
   10,853.16x = 16,281.69 × 3,837.25
4. Step 4: Simplify right side
   10,853.16x = 62,476,831.03
5. Step 5: Solve for x
   x = 62,476,831.03/10,853.16
6. Step 6: Final answer
   x = 5,756.56