Finding the Fourth Proportional to 2,565.63, 3,848.61 and 810.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,565.63 : 3,848.61 = 810.69 : x
2. Step 2: Convert to fraction form
   2,565.63/3,848.61 = 810.69/x
3. Step 3: Cross multiply
   2,565.63x = 3,848.61 × 810.69
4. Step 4: Simplify right side
   2,565.63x = 3,120,029.64
5. Step 5: Solve for x
   x = 3,120,029.64/2,565.63
6. Step 6: Final answer
   x = 1,216.09