Finding the Fourth Proportional to 9,683.96, 13,362.57 and 5,706.05

Step by Step Solution

1. Step 1: Write the proportion equation
   9,683.96 : 13,362.57 = 5,706.05 : x
2. Step 2: Convert to fraction form
   9,683.96/13,362.57 = 5,706.05/x
3. Step 3: Cross multiply
   9,683.96x = 13,362.57 × 5,706.05
4. Step 4: Simplify right side
   9,683.96x = 76,247,425.74
5. Step 5: Solve for x
   x = 76,247,425.74/9,683.96
6. Step 6: Final answer
   x = 7,873.58