Finding the Fourth Proportional to 10,466.78, 14,433.80 and 9,556.47

Step by Step Solution

1. Step 1: Write the proportion equation
   10,466.78 : 14,433.80 = 9,556.47 : x
2. Step 2: Convert to fraction form
   10,466.78/14,433.80 = 9,556.47/x
3. Step 3: Cross multiply
   10,466.78x = 14,433.80 × 9,556.47
4. Step 4: Simplify right side
   10,466.78x = 137,936,128.90
5. Step 5: Solve for x
   x = 137,936,128.90/10,466.78
6. Step 6: Final answer
   x = 13,178.47