Finding the Fourth Proportional to 9,391.98, 12,965.58 and 5,856.30

Step by Step Solution

1. Step 1: Write the proportion equation
   9,391.98 : 12,965.58 = 5,856.30 : x
2. Step 2: Convert to fraction form
   9,391.98/12,965.58 = 5,856.30/x
3. Step 3: Cross multiply
   9,391.98x = 12,965.58 × 5,856.30
4. Step 4: Simplify right side
   9,391.98x = 75,930,326.15
5. Step 5: Solve for x
   x = 75,930,326.15/9,391.98
6. Step 6: Final answer
   x = 8,084.59