Finding the Fourth Proportional to 11,667.78, 16,102.78 and 7,133.12

Step by Step Solution

1. Step 1: Write the proportion equation
   11,667.78 : 16,102.78 = 7,133.12 : x
2. Step 2: Convert to fraction form
   11,667.78/16,102.78 = 7,133.12/x
3. Step 3: Cross multiply
   11,667.78x = 16,102.78 × 7,133.12
4. Step 4: Simplify right side
   11,667.78x = 114,863,043.53
5. Step 5: Solve for x
   x = 114,863,043.53/11,667.78
6. Step 6: Final answer
   x = 9,844.46