Finding the Fourth Proportional to 2,362.80, 3,544.37 and 802.17

Step by Step Solution

1. Step 1: Write the proportion equation
   2,362.80 : 3,544.37 = 802.17 : x
2. Step 2: Convert to fraction form
   2,362.80/3,544.37 = 802.17/x
3. Step 3: Cross multiply
   2,362.80x = 3,544.37 × 802.17
4. Step 4: Simplify right side
   2,362.80x = 2,843,189.29
5. Step 5: Solve for x
   x = 2,843,189.29/2,362.80
6. Step 6: Final answer
   x = 1,203.31