Finding the Fourth Proportional to 3,892.23, 5,371.25 and 2,566.67

Step by Step Solution

1. Step 1: Write the proportion equation
   3,892.23 : 5,371.25 = 2,566.67 : x
2. Step 2: Convert to fraction form
   3,892.23/5,371.25 = 2,566.67/x
3. Step 3: Cross multiply
   3,892.23x = 5,371.25 × 2,566.67
4. Step 4: Simplify right side
   3,892.23x = 13,786,186.55
5. Step 5: Solve for x
   x = 13,786,186.55/3,892.23
6. Step 6: Final answer
   x = 3,541.98