Finding the Fourth Proportional to 12,456.07, 18,664.63 and 7,829.35

Step by Step Solution

1. Step 1: Write the proportion equation
   12,456.07 : 18,664.63 = 7,829.35 : x
2. Step 2: Convert to fraction form
   12,456.07/18,664.63 = 7,829.35/x
3. Step 3: Cross multiply
   12,456.07x = 18,664.63 × 7,829.35
4. Step 4: Simplify right side
   12,456.07x = 146,131,920.89
5. Step 5: Solve for x
   x = 146,131,920.89/12,456.07
6. Step 6: Final answer
   x = 11,731.78