Finding the Fourth Proportional to 11,648.49, 16,077.60 and 7,112.72

Step by Step Solution

1. Step 1: Write the proportion equation
   11,648.49 : 16,077.60 = 7,112.72 : x
2. Step 2: Convert to fraction form
   11,648.49/16,077.60 = 7,112.72/x
3. Step 3: Cross multiply
   11,648.49x = 16,077.60 × 7,112.72
4. Step 4: Simplify right side
   11,648.49x = 114,355,386.68
5. Step 5: Solve for x
   x = 114,355,386.68/11,648.49
6. Step 6: Final answer
   x = 9,817.19