Finding the Fourth Proportional to 10,677.83, 14,742.33 and 9,556.82

Step by Step Solution

1. Step 1: Write the proportion equation
   10,677.83 : 14,742.33 = 9,556.82 : x
2. Step 2: Convert to fraction form
   10,677.83/14,742.33 = 9,556.82/x
3. Step 3: Cross multiply
   10,677.83x = 14,742.33 × 9,556.82
4. Step 4: Simplify right side
   10,677.83x = 140,889,866.88
5. Step 5: Solve for x
   x = 140,889,866.88/10,677.83
6. Step 6: Final answer
   x = 13,194.62