Finding the Fourth Proportional to 2,111.80, 3,165.78 and 814.24

Step by Step Solution

1. Step 1: Write the proportion equation
   2,111.80 : 3,165.78 = 814.24 : x
2. Step 2: Convert to fraction form
   2,111.80/3,165.78 = 814.24/x
3. Step 3: Cross multiply
   2,111.80x = 3,165.78 × 814.24
4. Step 4: Simplify right side
   2,111.80x = 2,577,704.71
5. Step 5: Solve for x
   x = 2,577,704.71/2,111.80
6. Step 6: Final answer
   x = 1,220.62