Finding the Fourth Proportional to 11,688.25, 16,123.29 and 7,649.47

Step by Step Solution

1. Step 1: Write the proportion equation
   11,688.25 : 16,123.29 = 7,649.47 : x
2. Step 2: Convert to fraction form
   11,688.25/16,123.29 = 7,649.47/x
3. Step 3: Cross multiply
   11,688.25x = 16,123.29 × 7,649.47
4. Step 4: Simplify right side
   11,688.25x = 123,334,623.16
5. Step 5: Solve for x
   x = 123,334,623.16/11,688.25
6. Step 6: Final answer
   x = 10,552.02