Finding the Fourth Proportional to 10,646.34, 14,691.61 and 6,109.76

Step by Step Solution

1. Step 1: Write the proportion equation
   10,646.34 : 14,691.61 = 6,109.76 : x
2. Step 2: Convert to fraction form
   10,646.34/14,691.61 = 6,109.76/x
3. Step 3: Cross multiply
   10,646.34x = 14,691.61 × 6,109.76
4. Step 4: Simplify right side
   10,646.34x = 89,762,255.48
5. Step 5: Solve for x
   x = 89,762,255.48/10,646.34
6. Step 6: Final answer
   x = 8,431.28