Finding the Fourth Proportional to 2,270.64, 3,401.41 and 1,141.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,270.64 : 3,401.41 = 1,141.50 : x
2. Step 2: Convert to fraction form
   2,270.64/3,401.41 = 1,141.50/x
3. Step 3: Cross multiply
   2,270.64x = 3,401.41 × 1,141.50
4. Step 4: Simplify right side
   2,270.64x = 3,882,703.81
5. Step 5: Solve for x
   x = 3,882,703.81/2,270.64
6. Step 6: Final answer
   x = 1,709.96