Finding the Fourth Proportional to 10,076.25, 15,114.47 and 3,836.32

Step by Step Solution

1. Step 1: Write the proportion equation
   10,076.25 : 15,114.47 = 3,836.32 : x
2. Step 2: Convert to fraction form
   10,076.25/15,114.47 = 3,836.32/x
3. Step 3: Cross multiply
   10,076.25x = 15,114.47 × 3,836.32
4. Step 4: Simplify right side
   10,076.25x = 57,983,886.58
5. Step 5: Solve for x
   x = 57,983,886.58/10,076.25
6. Step 6: Final answer
   x = 5,754.51