Finding the Fourth Proportional to 1,727.50, 2,589.46 and 802.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,727.50 : 2,589.46 = 802.82 : x
2. Step 2: Convert to fraction form
   1,727.50/2,589.46 = 802.82/x
3. Step 3: Cross multiply
   1,727.50x = 2,589.46 × 802.82
4. Step 4: Simplify right side
   1,727.50x = 2,078,870.28
5. Step 5: Solve for x
   x = 2,078,870.28/1,727.50
6. Step 6: Final answer
   x = 1,203.40