Finding the Fourth Proportional to 2,369.58, 3,554.78 and 809.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,369.58 : 3,554.78 = 809.50 : x
2. Step 2: Convert to fraction form
   2,369.58/3,554.78 = 809.50/x
3. Step 3: Cross multiply
   2,369.58x = 3,554.78 × 809.50
4. Step 4: Simplify right side
   2,369.58x = 2,877,581.48
5. Step 5: Solve for x
   x = 2,877,581.48/2,369.58
6. Step 6: Final answer
   x = 1,214.38