Finding the Fourth Proportional to 9,661.89, 13,333.15 and 5,683.25

Step by Step Solution

1. Step 1: Write the proportion equation
   9,661.89 : 13,333.15 = 5,683.25 : x
2. Step 2: Convert to fraction form
   9,661.89/13,333.15 = 5,683.25/x
3. Step 3: Cross multiply
   9,661.89x = 13,333.15 × 5,683.25
4. Step 4: Simplify right side
   9,661.89x = 75,775,543.86
5. Step 5: Solve for x
   x = 75,775,543.86/9,661.89
6. Step 6: Final answer
   x = 7,842.72