Finding the Fourth Proportional to 10,766.22, 16,146.63 and 7,637.10

Step by Step Solution

1. Step 1: Write the proportion equation
   10,766.22 : 16,146.63 = 7,637.10 : x
2. Step 2: Convert to fraction form
   10,766.22/16,146.63 = 7,637.10/x
3. Step 3: Cross multiply
   10,766.22x = 16,146.63 × 7,637.10
4. Step 4: Simplify right side
   10,766.22x = 123,313,427.97
5. Step 5: Solve for x
   x = 123,313,427.97/10,766.22
6. Step 6: Final answer
   x = 11,453.73