Finding the Fourth Proportional to 1,460.83, 2,187.76 and 809.95

Step by Step Solution

1. Step 1: Write the proportion equation
   1,460.83 : 2,187.76 = 809.95 : x
2. Step 2: Convert to fraction form
   1,460.83/2,187.76 = 809.95/x
3. Step 3: Cross multiply
   1,460.83x = 2,187.76 × 809.95
4. Step 4: Simplify right side
   1,460.83x = 1,771,976.21
5. Step 5: Solve for x
   x = 1,771,976.21/1,460.83
6. Step 6: Final answer
   x = 1,212.99