Finding the Fourth Proportional to 2,109.46, 3,164.46 and 810.76

Step by Step Solution

1. Step 1: Write the proportion equation
   2,109.46 : 3,164.46 = 810.76 : x
2. Step 2: Convert to fraction form
   2,109.46/3,164.46 = 810.76/x
3. Step 3: Cross multiply
   2,109.46x = 3,164.46 × 810.76
4. Step 4: Simplify right side
   2,109.46x = 2,565,617.59
5. Step 5: Solve for x
   x = 2,565,617.59/2,109.46
6. Step 6: Final answer
   x = 1,216.24