Finding the Fourth Proportional to 9,688.55, 13,363.83 and 5,706.86

Step by Step Solution

1. Step 1: Write the proportion equation
   9,688.55 : 13,363.83 = 5,706.86 : x
2. Step 2: Convert to fraction form
   9,688.55/13,363.83 = 5,706.86/x
3. Step 3: Cross multiply
   9,688.55x = 13,363.83 × 5,706.86
4. Step 4: Simplify right side
   9,688.55x = 76,265,440.05
5. Step 5: Solve for x
   x = 76,265,440.05/9,688.55
6. Step 6: Final answer
   x = 7,871.71