Finding the Fourth Proportional to 9,676.38, 14,502.42 and 5,233.86

Step by Step Solution

1. Step 1: Write the proportion equation
   9,676.38 : 14,502.42 = 5,233.86 : x
2. Step 2: Convert to fraction form
   9,676.38/14,502.42 = 5,233.86/x
3. Step 3: Cross multiply
   9,676.38x = 14,502.42 × 5,233.86
4. Step 4: Simplify right side
   9,676.38x = 75,903,635.94
5. Step 5: Solve for x
   x = 75,903,635.94/9,676.38
6. Step 6: Final answer
   x = 7,844.22