Finding the Fourth Proportional to 11,896.92, 16,405.72 and 7,178.40

Step by Step Solution

1. Step 1: Write the proportion equation
   11,896.92 : 16,405.72 = 7,178.40 : x
2. Step 2: Convert to fraction form
   11,896.92/16,405.72 = 7,178.40/x
3. Step 3: Cross multiply
   11,896.92x = 16,405.72 × 7,178.40
4. Step 4: Simplify right side
   11,896.92x = 117,766,820.45
5. Step 5: Solve for x
   x = 117,766,820.45/11,896.92
6. Step 6: Final answer
   x = 9,898.93