Finding the Fourth Proportional to 1,141.43, 1,711.71 and 410.76

Step by Step Solution

1. Step 1: Write the proportion equation
   1,141.43 : 1,711.71 = 410.76 : x
2. Step 2: Convert to fraction form
   1,141.43/1,711.71 = 410.76/x
3. Step 3: Cross multiply
   1,141.43x = 1,711.71 × 410.76
4. Step 4: Simplify right side
   1,141.43x = 703,102.00
5. Step 5: Solve for x
   x = 703,102.00/1,141.43
6. Step 6: Final answer
   x = 615.99