Finding the Fourth Proportional to 1,141.86, 1,711.29 and 516.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,141.86 : 1,711.29 = 516.69 : x
2. Step 2: Convert to fraction form
   1,141.86/1,711.29 = 516.69/x
3. Step 3: Cross multiply
   1,141.86x = 1,711.29 × 516.69
4. Step 4: Simplify right side
   1,141.86x = 884,206.43
5. Step 5: Solve for x
   x = 884,206.43/1,141.86
6. Step 6: Final answer
   x = 774.36