Finding the Fourth Proportional to 7,857.46, 10,831.89 and 5,492.26

Step by Step Solution

1. Step 1: Write the proportion equation
   7,857.46 : 10,831.89 = 5,492.26 : x
2. Step 2: Convert to fraction form
   7,857.46/10,831.89 = 5,492.26/x
3. Step 3: Cross multiply
   7,857.46x = 10,831.89 × 5,492.26
4. Step 4: Simplify right side
   7,857.46x = 59,491,556.17
5. Step 5: Solve for x
   x = 59,491,556.17/7,857.46
6. Step 6: Final answer
   x = 7,571.35