Finding the Fourth Proportional to 9,771.38, 14,676.68 and 5,830.33

Step by Step Solution

1. Step 1: Write the proportion equation
   9,771.38 : 14,676.68 = 5,830.33 : x
2. Step 2: Convert to fraction form
   9,771.38/14,676.68 = 5,830.33/x
3. Step 3: Cross multiply
   9,771.38x = 14,676.68 × 5,830.33
4. Step 4: Simplify right side
   9,771.38x = 85,569,810.69
5. Step 5: Solve for x
   x = 85,569,810.69/9,771.38
6. Step 6: Final answer
   x = 8,757.19