Finding the Fourth Proportional to 3,892.96, 5,831.63 and 3,688.54

Step by Step Solution

1. Step 1: Write the proportion equation
   3,892.96 : 5,831.63 = 3,688.54 : x
2. Step 2: Convert to fraction form
   3,892.96/5,831.63 = 3,688.54/x
3. Step 3: Cross multiply
   3,892.96x = 5,831.63 × 3,688.54
4. Step 4: Simplify right side
   3,892.96x = 21,510,200.52
5. Step 5: Solve for x
   x = 21,510,200.52/3,892.96
6. Step 6: Final answer
   x = 5,525.41