Finding the Fourth Proportional to 5,665.22, 7,815.82 and 4,176.67

Step by Step Solution

1. Step 1: Write the proportion equation
   5,665.22 : 7,815.82 = 4,176.67 : x
2. Step 2: Convert to fraction form
   5,665.22/7,815.82 = 4,176.67/x
3. Step 3: Cross multiply
   5,665.22x = 7,815.82 × 4,176.67
4. Step 4: Simplify right side
   5,665.22x = 32,644,100.92
5. Step 5: Solve for x
   x = 32,644,100.92/5,665.22
6. Step 6: Final answer
   x = 5,762.19