Finding the Fourth Proportional to 11,759.94, 17,640.81 and 5,096.88

Step by Step Solution

1. Step 1: Write the proportion equation
   11,759.94 : 17,640.81 = 5,096.88 : x
2. Step 2: Convert to fraction form
   11,759.94/17,640.81 = 5,096.88/x
3. Step 3: Cross multiply
   11,759.94x = 17,640.81 × 5,096.88
4. Step 4: Simplify right side
   11,759.94x = 89,913,091.67
5. Step 5: Solve for x
   x = 89,913,091.67/11,759.94
6. Step 6: Final answer
   x = 7,645.71