Finding the Fourth Proportional to 11,688.26, 16,123.30 and 7,649.46

Step by Step Solution

1. Step 1: Write the proportion equation
   11,688.26 : 16,123.30 = 7,649.46 : x
2. Step 2: Convert to fraction form
   11,688.26/16,123.30 = 7,649.46/x
3. Step 3: Cross multiply
   11,688.26x = 16,123.30 × 7,649.46
4. Step 4: Simplify right side
   11,688.26x = 123,334,538.42
5. Step 5: Solve for x
   x = 123,334,538.42/11,688.26
6. Step 6: Final answer
   x = 10,552.00