Finding the Fourth Proportional to 2,562.65, 3,844.50 and 808.10

Step by Step Solution

1. Step 1: Write the proportion equation
   2,562.65 : 3,844.50 = 808.10 : x
2. Step 2: Convert to fraction form
   2,562.65/3,844.50 = 808.10/x
3. Step 3: Cross multiply
   2,562.65x = 3,844.50 × 808.10
4. Step 4: Simplify right side
   2,562.65x = 3,106,721.23
5. Step 5: Solve for x
   x = 3,106,721.23/2,562.65
6. Step 6: Final answer
   x = 1,212.31