Finding the Fourth Proportional to 2,047.56, 3,069.24 and 814.62

Step by Step Solution

1. Step 1: Write the proportion equation
   2,047.56 : 3,069.24 = 814.62 : x
2. Step 2: Convert to fraction form
   2,047.56/3,069.24 = 814.62/x
3. Step 3: Cross multiply
   2,047.56x = 3,069.24 × 814.62
4. Step 4: Simplify right side
   2,047.56x = 2,500,264.29
5. Step 5: Solve for x
   x = 2,500,264.29/2,047.56
6. Step 6: Final answer
   x = 1,221.09