Finding the Fourth Proportional to 1,456.41, 2,186.18 and 807.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,456.41 : 2,186.18 = 807.69 : x
2. Step 2: Convert to fraction form
   1,456.41/2,186.18 = 807.69/x
3. Step 3: Cross multiply
   1,456.41x = 2,186.18 × 807.69
4. Step 4: Simplify right side
   1,456.41x = 1,765,751.69
5. Step 5: Solve for x
   x = 1,765,751.69/1,456.41
6. Step 6: Final answer
   x = 1,212.40