Finding the Fourth Proportional to 2,446.30, 3,669.69 and 802.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,446.30 : 3,669.69 = 802.78 : x
2. Step 2: Convert to fraction form
   2,446.30/3,669.69 = 802.78/x
3. Step 3: Cross multiply
   2,446.30x = 3,669.69 × 802.78
4. Step 4: Simplify right side
   2,446.30x = 2,945,953.74
5. Step 5: Solve for x
   x = 2,945,953.74/2,446.30
6. Step 6: Final answer
   x = 1,204.25