Finding the Fourth Proportional to 9,588.29, 13,229.17 and 5,758.91

Step by Step Solution

1. Step 1: Write the proportion equation
   9,588.29 : 13,229.17 = 5,758.91 : x
2. Step 2: Convert to fraction form
   9,588.29/13,229.17 = 5,758.91/x
3. Step 3: Cross multiply
   9,588.29x = 13,229.17 × 5,758.91
4. Step 4: Simplify right side
   9,588.29x = 76,185,675.28
5. Step 5: Solve for x
   x = 76,185,675.28/9,588.29
6. Step 6: Final answer
   x = 7,945.70