Finding the Fourth Proportional to 10,768.64, 16,158.72 and 3,848

Step by Step Solution

1. Step 1: Write the proportion equation
   10,768.64 : 16,158.72 = 3,848 : x
2. Step 2: Convert to fraction form
   10,768.64/16,158.72 = 3,848/x
3. Step 3: Cross multiply
   10,768.64x = 16,158.72 × 3,848
4. Step 4: Simplify right side
   10,768.64x = 62,178,754.56
5. Step 5: Solve for x
   x = 62,178,754.56/10,768.64
6. Step 6: Final answer
   x = 5,774.06