Finding the Fourth Proportional to 12,784, 19,178.42 and 4,466.38

Step by Step Solution

1. Step 1: Write the proportion equation
   12,784 : 19,178.42 = 4,466.38 : x
2. Step 2: Convert to fraction form
   12,784/19,178.42 = 4,466.38/x
3. Step 3: Cross multiply
   12,784x = 19,178.42 × 4,466.38
4. Step 4: Simplify right side
   12,784x = 85,658,111.52
5. Step 5: Solve for x
   x = 85,658,111.52/12,784
6. Step 6: Final answer
   x = 6,700.42