Finding the Fourth Proportional to 10,613.40, 14,646.76 and 6,137.34

Step by Step Solution

1. Step 1: Write the proportion equation
   10,613.40 : 14,646.76 = 6,137.34 : x
2. Step 2: Convert to fraction form
   10,613.40/14,646.76 = 6,137.34/x
3. Step 3: Cross multiply
   10,613.40x = 14,646.76 × 6,137.34
4. Step 4: Simplify right side
   10,613.40x = 89,892,146.02
5. Step 5: Solve for x
   x = 89,892,146.02/10,613.40
6. Step 6: Final answer
   x = 8,469.68