Finding the Fourth Proportional to 2,446.16, 3,667.86 and 802.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,446.16 : 3,667.86 = 802.56 : x
2. Step 2: Convert to fraction form
   2,446.16/3,667.86 = 802.56/x
3. Step 3: Cross multiply
   2,446.16x = 3,667.86 × 802.56
4. Step 4: Simplify right side
   2,446.16x = 2,943,677.72
5. Step 5: Solve for x
   x = 2,943,677.72/2,446.16
6. Step 6: Final answer
   x = 1,203.39