Finding the Fourth Proportional to 12,784.05, 17,648.36 and 9,906.33

Step by Step Solution

1. Step 1: Write the proportion equation
   12,784.05 : 17,648.36 = 9,906.33 : x
2. Step 2: Convert to fraction form
   12,784.05/17,648.36 = 9,906.33/x
3. Step 3: Cross multiply
   12,784.05x = 17,648.36 × 9,906.33
4. Step 4: Simplify right side
   12,784.05x = 174,830,478.12
5. Step 5: Solve for x
   x = 174,830,478.12/12,784.05
6. Step 6: Final answer
   x = 13,675.67