Finding the Fourth Proportional to 11,629.56, 16,049 and 7,155.84

Step by Step Solution

1. Step 1: Write the proportion equation
   11,629.56 : 16,049 = 7,155.84 : x
2. Step 2: Convert to fraction form
   11,629.56/16,049 = 7,155.84/x
3. Step 3: Cross multiply
   11,629.56x = 16,049 × 7,155.84
4. Step 4: Simplify right side
   11,629.56x = 114,844,076.16
5. Step 5: Solve for x
   x = 114,844,076.16/11,629.56
6. Step 6: Final answer
   x = 9,875.19