Finding the Fourth Proportional to 11,655, 16,079.34 and 7,678.20

Step by Step Solution

1. Step 1: Write the proportion equation
   11,655 : 16,079.34 = 7,678.20 : x
2. Step 2: Convert to fraction form
   11,655/16,079.34 = 7,678.20/x
3. Step 3: Cross multiply
   11,655x = 16,079.34 × 7,678.20
4. Step 4: Simplify right side
   11,655x = 123,460,388.39
5. Step 5: Solve for x
   x = 123,460,388.39/11,655
6. Step 6: Final answer
   x = 10,592.91