Finding the Fourth Proportional to 11,663.88, 16,093.50 and 9,783.06

Step by Step Solution

1. Step 1: Write the proportion equation
   11,663.88 : 16,093.50 = 9,783.06 : x
2. Step 2: Convert to fraction form
   11,663.88/16,093.50 = 9,783.06/x
3. Step 3: Cross multiply
   11,663.88x = 16,093.50 × 9,783.06
4. Step 4: Simplify right side
   11,663.88x = 157,443,676.11
5. Step 5: Solve for x
   x = 157,443,676.11/11,663.88
6. Step 6: Final answer
   x = 13,498.40