Finding the Fourth Proportional to 1,540.54, 2,310.34 and 809.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,540.54 : 2,310.34 = 809.72 : x
2. Step 2: Convert to fraction form
   1,540.54/2,310.34 = 809.72/x
3. Step 3: Cross multiply
   1,540.54x = 2,310.34 × 809.72
4. Step 4: Simplify right side
   1,540.54x = 1,870,728.50
5. Step 5: Solve for x
   x = 1,870,728.50/1,540.54
6. Step 6: Final answer
   x = 1,214.33