Finding the Fourth Proportional to 9,389.98, 12,962.82 and 5,854.30

Step by Step Solution

1. Step 1: Write the proportion equation
   9,389.98 : 12,962.82 = 5,854.30 : x
2. Step 2: Convert to fraction form
   9,389.98/12,962.82 = 5,854.30/x
3. Step 3: Cross multiply
   9,389.98x = 12,962.82 × 5,854.30
4. Step 4: Simplify right side
   9,389.98x = 75,888,237.13
5. Step 5: Solve for x
   x = 75,888,237.13/9,389.98
6. Step 6: Final answer
   x = 8,081.83