Finding the Fourth Proportional to 11,896.50, 16,417.18 and 7,180.78

Step by Step Solution

1. Step 1: Write the proportion equation
   11,896.50 : 16,417.18 = 7,180.78 : x
2. Step 2: Convert to fraction form
   11,896.50/16,417.18 = 7,180.78/x
3. Step 3: Cross multiply
   11,896.50x = 16,417.18 × 7,180.78
4. Step 4: Simplify right side
   11,896.50x = 117,888,157.80
5. Step 5: Solve for x
   x = 117,888,157.80/11,896.50
6. Step 6: Final answer
   x = 9,909.48