Finding the Fourth Proportional to 2,446.15, 3,667.86 and 802.57

Step by Step Solution

1. Step 1: Write the proportion equation
   2,446.15 : 3,667.86 = 802.57 : x
2. Step 2: Convert to fraction form
   2,446.15/3,667.86 = 802.57/x
3. Step 3: Cross multiply
   2,446.15x = 3,667.86 × 802.57
4. Step 4: Simplify right side
   2,446.15x = 2,943,714.40
5. Step 5: Solve for x
   x = 2,943,714.40/2,446.15
6. Step 6: Final answer
   x = 1,203.41