Finding the Fourth Proportional to 3,005.82, 4,508.72 and 814.55

Step by Step Solution

1. Step 1: Write the proportion equation
   3,005.82 : 4,508.72 = 814.55 : x
2. Step 2: Convert to fraction form
   3,005.82/4,508.72 = 814.55/x
3. Step 3: Cross multiply
   3,005.82x = 4,508.72 × 814.55
4. Step 4: Simplify right side
   3,005.82x = 3,672,551.26
5. Step 5: Solve for x
   x = 3,672,551.26/3,005.82
6. Step 6: Final answer
   x = 1,221.81