Finding the Fourth Proportional to 10,136.69, 13,986.96 and 5,659.72

Step by Step Solution

1. Step 1: Write the proportion equation
   10,136.69 : 13,986.96 = 5,659.72 : x
2. Step 2: Convert to fraction form
   10,136.69/13,986.96 = 5,659.72/x
3. Step 3: Cross multiply
   10,136.69x = 13,986.96 × 5,659.72
4. Step 4: Simplify right side
   10,136.69x = 79,162,277.25
5. Step 5: Solve for x
   x = 79,162,277.25/10,136.69
6. Step 6: Final answer
   x = 7,809.48