Finding the Fourth Proportional to 9,686.19, 13,369.82 and 5,708.59

Step by Step Solution

1. Step 1: Write the proportion equation
   9,686.19 : 13,369.82 = 5,708.59 : x
2. Step 2: Convert to fraction form
   9,686.19/13,369.82 = 5,708.59/x
3. Step 3: Cross multiply
   9,686.19x = 13,369.82 × 5,708.59
4. Step 4: Simplify right side
   9,686.19x = 76,322,758.79
5. Step 5: Solve for x
   x = 76,322,758.79/9,686.19
6. Step 6: Final answer
   x = 7,879.54