Finding the Fourth Proportional to 9,683.10, 14,491.05 and 5,790.30

Step by Step Solution

1. Step 1: Write the proportion equation
   9,683.10 : 14,491.05 = 5,790.30 : x
2. Step 2: Convert to fraction form
   9,683.10/14,491.05 = 5,790.30/x
3. Step 3: Cross multiply
   9,683.10x = 14,491.05 × 5,790.30
4. Step 4: Simplify right side
   9,683.10x = 83,907,526.82
5. Step 5: Solve for x
   x = 83,907,526.82/9,683.10
6. Step 6: Final answer
   x = 8,665.36