Finding the Fourth Proportional to 10,136.29, 13,986.75 and 5,659.32

Step by Step Solution

1. Step 1: Write the proportion equation
   10,136.29 : 13,986.75 = 5,659.32 : x
2. Step 2: Convert to fraction form
   10,136.29/13,986.75 = 5,659.32/x
3. Step 3: Cross multiply
   10,136.29x = 13,986.75 × 5,659.32
4. Step 4: Simplify right side
   10,136.29x = 79,155,494.01
5. Step 5: Solve for x
   x = 79,155,494.01/10,136.29
6. Step 6: Final answer
   x = 7,809.12