Finding the Fourth Proportional to 9,958.26, 13,742.55 and 5,709.69

Step by Step Solution

1. Step 1: Write the proportion equation
   9,958.26 : 13,742.55 = 5,709.69 : x
2. Step 2: Convert to fraction form
   9,958.26/13,742.55 = 5,709.69/x
3. Step 3: Cross multiply
   9,958.26x = 13,742.55 × 5,709.69
4. Step 4: Simplify right side
   9,958.26x = 78,465,700.31
5. Step 5: Solve for x
   x = 78,465,700.31/9,958.26
6. Step 6: Final answer
   x = 7,879.46