Finding the Fourth Proportional to 5,471.81, 8,188.27 and 4,007.33

Step by Step Solution

1. Step 1: Write the proportion equation
   5,471.81 : 8,188.27 = 4,007.33 : x
2. Step 2: Convert to fraction form
   5,471.81/8,188.27 = 4,007.33/x
3. Step 3: Cross multiply
   5,471.81x = 8,188.27 × 4,007.33
4. Step 4: Simplify right side
   5,471.81x = 32,813,100.02
5. Step 5: Solve for x
   x = 32,813,100.02/5,471.81
6. Step 6: Final answer
   x = 5,996.75