Finding the Fourth Proportional to 1,002.53, 1,382.83 and 609.80

Step by Step Solution

1. Step 1: Write the proportion equation
   1,002.53 : 1,382.83 = 609.80 : x
2. Step 2: Convert to fraction form
   1,002.53/1,382.83 = 609.80/x
3. Step 3: Cross multiply
   1,002.53x = 1,382.83 × 609.80
4. Step 4: Simplify right side
   1,002.53x = 843,241.30
5. Step 5: Solve for x
   x = 843,241.30/1,002.53
6. Step 6: Final answer
   x = 841.11