Finding the Fourth Proportional to 12,643.16, 18,962.56 and 3,407

Step by Step Solution

1. Step 1: Write the proportion equation
   12,643.16 : 18,962.56 = 3,407 : x
2. Step 2: Convert to fraction form
   12,643.16/18,962.56 = 3,407/x
3. Step 3: Cross multiply
   12,643.16x = 18,962.56 × 3,407
4. Step 4: Simplify right side
   12,643.16x = 64,605,441.92
5. Step 5: Solve for x
   x = 64,605,441.92/12,643.16
6. Step 6: Final answer
   x = 5,109.91