Finding the Fourth Proportional to 10,613.40, 14,644.72 and 6,137.76

Step by Step Solution

1. Step 1: Write the proportion equation
   10,613.40 : 14,644.72 = 6,137.76 : x
2. Step 2: Convert to fraction form
   10,613.40/14,644.72 = 6,137.76/x
3. Step 3: Cross multiply
   10,613.40x = 14,644.72 × 6,137.76
4. Step 4: Simplify right side
   10,613.40x = 89,885,776.63
5. Step 5: Solve for x
   x = 89,885,776.63/10,613.40
6. Step 6: Final answer
   x = 8,469.08