Finding the Fourth Proportional to 11,673.90, 16,099.17 and 7,688.10

Step by Step Solution

1. Step 1: Write the proportion equation
   11,673.90 : 16,099.17 = 7,688.10 : x
2. Step 2: Convert to fraction form
   11,673.90/16,099.17 = 7,688.10/x
3. Step 3: Cross multiply
   11,673.90x = 16,099.17 × 7,688.10
4. Step 4: Simplify right side
   11,673.90x = 123,772,028.88
5. Step 5: Solve for x
   x = 123,772,028.88/11,673.90
6. Step 6: Final answer
   x = 10,602.46