Finding the Fourth Proportional to 9,665.54, 13,348.97 and 7,783.37

Step by Step Solution

1. Step 1: Write the proportion equation
   9,665.54 : 13,348.97 = 7,783.37 : x
2. Step 2: Convert to fraction form
   9,665.54/13,348.97 = 7,783.37/x
3. Step 3: Cross multiply
   9,665.54x = 13,348.97 × 7,783.37
4. Step 4: Simplify right side
   9,665.54x = 103,899,972.63
5. Step 5: Solve for x
   x = 103,899,972.63/9,665.54
6. Step 6: Final answer
   x = 10,749.53