Finding the Fourth Proportional to 10,613.56, 14,648.58 and 6,136.60

Step by Step Solution

1. Step 1: Write the proportion equation
   10,613.56 : 14,648.58 = 6,136.60 : x
2. Step 2: Convert to fraction form
   10,613.56/14,648.58 = 6,136.60/x
3. Step 3: Cross multiply
   10,613.56x = 14,648.58 × 6,136.60
4. Step 4: Simplify right side
   10,613.56x = 89,892,476.03
5. Step 5: Solve for x
   x = 89,892,476.03/10,613.56
6. Step 6: Final answer
   x = 8,469.59