Finding the Fourth Proportional to 9,683.80, 14,516.52 and 3,106.60

Step by Step Solution

1. Step 1: Write the proportion equation
   9,683.80 : 14,516.52 = 3,106.60 : x
2. Step 2: Convert to fraction form
   9,683.80/14,516.52 = 3,106.60/x
3. Step 3: Cross multiply
   9,683.80x = 14,516.52 × 3,106.60
4. Step 4: Simplify right side
   9,683.80x = 45,097,021.03
5. Step 5: Solve for x
   x = 45,097,021.03/9,683.80
6. Step 6: Final answer
   x = 4,656.96