Finding the Fourth Proportional to 12,946.69, 19,404.31 and 9,192.54

Step by Step Solution

1. Step 1: Write the proportion equation
   12,946.69 : 19,404.31 = 9,192.54 : x
2. Step 2: Convert to fraction form
   12,946.69/19,404.31 = 9,192.54/x
3. Step 3: Cross multiply
   12,946.69x = 19,404.31 × 9,192.54
4. Step 4: Simplify right side
   12,946.69x = 178,374,853.72
5. Step 5: Solve for x
   x = 178,374,853.72/12,946.69
6. Step 6: Final answer
   x = 13,777.65