Finding the Fourth Proportional to 11,896.86, 17,847.86 and 7,399.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,896.86 : 17,847.86 = 7,399.50 : x
2. Step 2: Convert to fraction form
   11,896.86/17,847.86 = 7,399.50/x
3. Step 3: Cross multiply
   11,896.86x = 17,847.86 × 7,399.50
4. Step 4: Simplify right side
   11,896.86x = 132,065,136.14
5. Step 5: Solve for x
   x = 132,065,136.14/11,896.86
6. Step 6: Final answer
   x = 11,100.84