Finding the Fourth Proportional to 7,165.50, 9,889.59 and 4,181.67

Step by Step Solution

1. Step 1: Write the proportion equation
   7,165.50 : 9,889.59 = 4,181.67 : x
2. Step 2: Convert to fraction form
   7,165.50/9,889.59 = 4,181.67/x
3. Step 3: Cross multiply
   7,165.50x = 9,889.59 × 4,181.67
4. Step 4: Simplify right side
   7,165.50x = 41,355,001.82
5. Step 5: Solve for x
   x = 41,355,001.82/7,165.50
6. Step 6: Final answer
   x = 5,771.40