Finding the Fourth Proportional to 9,665.22, 13,333.50 and 5,683.80

Step by Step Solution

1. Step 1: Write the proportion equation
   9,665.22 : 13,333.50 = 5,683.80 : x
2. Step 2: Convert to fraction form
   9,665.22/13,333.50 = 5,683.80/x
3. Step 3: Cross multiply
   9,665.22x = 13,333.50 × 5,683.80
4. Step 4: Simplify right side
   9,665.22x = 75,784,947.30
5. Step 5: Solve for x
   x = 75,784,947.30/9,665.22
6. Step 6: Final answer
   x = 7,841.00