Finding the Fourth Proportional to 11,706.34, 17,568.72 and 5,137.06

Step by Step Solution

1. Step 1: Write the proportion equation
   11,706.34 : 17,568.72 = 5,137.06 : x
2. Step 2: Convert to fraction form
   11,706.34/17,568.72 = 5,137.06/x
3. Step 3: Cross multiply
   11,706.34x = 17,568.72 × 5,137.06
4. Step 4: Simplify right side
   11,706.34x = 90,251,568.76
5. Step 5: Solve for x
   x = 90,251,568.76/11,706.34
6. Step 6: Final answer
   x = 7,709.63