Finding the Fourth Proportional to 12,964.25, 19,441.49 and 4,196.81

Step by Step Solution

1. Step 1: Write the proportion equation
   12,964.25 : 19,441.49 = 4,196.81 : x
2. Step 2: Convert to fraction form
   12,964.25/19,441.49 = 4,196.81/x
3. Step 3: Cross multiply
   12,964.25x = 19,441.49 × 4,196.81
4. Step 4: Simplify right side
   12,964.25x = 81,592,267.27
5. Step 5: Solve for x
   x = 81,592,267.27/12,964.25
6. Step 6: Final answer
   x = 6,293.63