Finding the Fourth Proportional to 2,565.32, 3,848.34 and 809.73

Step by Step Solution

1. Step 1: Write the proportion equation
   2,565.32 : 3,848.34 = 809.73 : x
2. Step 2: Convert to fraction form
   2,565.32/3,848.34 = 809.73/x
3. Step 3: Cross multiply
   2,565.32x = 3,848.34 × 809.73
4. Step 4: Simplify right side
   2,565.32x = 3,116,097.11
5. Step 5: Solve for x
   x = 3,116,097.11/2,565.32
6. Step 6: Final answer
   x = 1,214.70