Finding the Fourth Proportional to 2,565.59, 3,848.59 and 810.71

Step by Step Solution

1. Step 1: Write the proportion equation
   2,565.59 : 3,848.59 = 810.71 : x
2. Step 2: Convert to fraction form
   2,565.59/3,848.59 = 810.71/x
3. Step 3: Cross multiply
   2,565.59x = 3,848.59 × 810.71
4. Step 4: Simplify right side
   2,565.59x = 3,120,084.32
5. Step 5: Solve for x
   x = 3,120,084.32/2,565.59
6. Step 6: Final answer
   x = 1,216.13