Finding the Fourth Proportional to 10,129, 15,200.25 and 3,894.16

Step by Step Solution

1. Step 1: Write the proportion equation
   10,129 : 15,200.25 = 3,894.16 : x
2. Step 2: Convert to fraction form
   10,129/15,200.25 = 3,894.16/x
3. Step 3: Cross multiply
   10,129x = 15,200.25 × 3,894.16
4. Step 4: Simplify right side
   10,129x = 59,192,205.54
5. Step 5: Solve for x
   x = 59,192,205.54/10,129
6. Step 6: Final answer
   x = 5,843.84