Finding the Fourth Proportional to 9,676.14, 13,351.89 and 5,897.94

Step by Step Solution

1. Step 1: Write the proportion equation
   9,676.14 : 13,351.89 = 5,897.94 : x
2. Step 2: Convert to fraction form
   9,676.14/13,351.89 = 5,897.94/x
3. Step 3: Cross multiply
   9,676.14x = 13,351.89 × 5,897.94
4. Step 4: Simplify right side
   9,676.14x = 78,748,616.62
5. Step 5: Solve for x
   x = 78,748,616.62/9,676.14
6. Step 6: Final answer
   x = 8,138.43