Finding the Fourth Proportional to 10,136.34, 13,987.35 and 5,659.74

Step by Step Solution

1. Step 1: Write the proportion equation
   10,136.34 : 13,987.35 = 5,659.74 : x
2. Step 2: Convert to fraction form
   10,136.34/13,987.35 = 5,659.74/x
3. Step 3: Cross multiply
   10,136.34x = 13,987.35 × 5,659.74
4. Step 4: Simplify right side
   10,136.34x = 79,164,764.29
5. Step 5: Solve for x
   x = 79,164,764.29/10,136.34
6. Step 6: Final answer
   x = 7,809.99