Finding the Fourth Proportional to 12,974.82, 19,464.96 and 4,209.05

Step by Step Solution

1. Step 1: Write the proportion equation
   12,974.82 : 19,464.96 = 4,209.05 : x
2. Step 2: Convert to fraction form
   12,974.82/19,464.96 = 4,209.05/x
3. Step 3: Cross multiply
   12,974.82x = 19,464.96 × 4,209.05
4. Step 4: Simplify right side
   12,974.82x = 81,929,054.33
5. Step 5: Solve for x
   x = 81,929,054.33/12,974.82
6. Step 6: Final answer
   x = 6,314.47