Finding the Fourth Proportional to 2,543.66, 3,814.76 and 811.34

Step by Step Solution

1. Step 1: Write the proportion equation
   2,543.66 : 3,814.76 = 811.34 : x
2. Step 2: Convert to fraction form
   2,543.66/3,814.76 = 811.34/x
3. Step 3: Cross multiply
   2,543.66x = 3,814.76 × 811.34
4. Step 4: Simplify right side
   2,543.66x = 3,095,067.38
5. Step 5: Solve for x
   x = 3,095,067.38/2,543.66
6. Step 6: Final answer
   x = 1,216.78