Finding the Fourth Proportional to 9,685.83, 13,363.50 and 5,705.49

Step by Step Solution

1. Step 1: Write the proportion equation
   9,685.83 : 13,363.50 = 5,705.49 : x
2. Step 2: Convert to fraction form
   9,685.83/13,363.50 = 5,705.49/x
3. Step 3: Cross multiply
   9,685.83x = 13,363.50 × 5,705.49
4. Step 4: Simplify right side
   9,685.83x = 76,245,315.62
5. Step 5: Solve for x
   x = 76,245,315.62/9,685.83
6. Step 6: Final answer
   x = 7,871.84