Finding the Fourth Proportional to 11,706.33, 17,568.72 and 5,137.05

Step by Step Solution

1. Step 1: Write the proportion equation
   11,706.33 : 17,568.72 = 5,137.05 : x
2. Step 2: Convert to fraction form
   11,706.33/17,568.72 = 5,137.05/x
3. Step 3: Cross multiply
   11,706.33x = 17,568.72 × 5,137.05
4. Step 4: Simplify right side
   11,706.33x = 90,251,393.08
5. Step 5: Solve for x
   x = 90,251,393.08/11,706.33
6. Step 6: Final answer
   x = 7,709.62