Finding the Fourth Proportional to 1,540.35, 2,307.69 and 810.41

Step by Step Solution

1. Step 1: Write the proportion equation
   1,540.35 : 2,307.69 = 810.41 : x
2. Step 2: Convert to fraction form
   1,540.35/2,307.69 = 810.41/x
3. Step 3: Cross multiply
   1,540.35x = 2,307.69 × 810.41
4. Step 4: Simplify right side
   1,540.35x = 1,870,163.51
5. Step 5: Solve for x
   x = 1,870,163.51/1,540.35
6. Step 6: Final answer
   x = 1,214.12