Finding the Fourth Proportional to 9,181.86, 13,770.33 and 3,986.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,181.86 : 13,770.33 = 3,986.50 : x
2. Step 2: Convert to fraction form
   9,181.86/13,770.33 = 3,986.50/x
3. Step 3: Cross multiply
   9,181.86x = 13,770.33 × 3,986.50
4. Step 4: Simplify right side
   9,181.86x = 54,895,420.55
5. Step 5: Solve for x
   x = 54,895,420.55/9,181.86
6. Step 6: Final answer
   x = 5,978.68