Finding the Fourth Proportional to 2,185.86, 3,278.83 and 869.83

Step by Step Solution

1. Step 1: Write the proportion equation
   2,185.86 : 3,278.83 = 869.83 : x
2. Step 2: Convert to fraction form
   2,185.86/3,278.83 = 869.83/x
3. Step 3: Cross multiply
   2,185.86x = 3,278.83 × 869.83
4. Step 4: Simplify right side
   2,185.86x = 2,852,024.70
5. Step 5: Solve for x
   x = 2,852,024.70/2,185.86
6. Step 6: Final answer
   x = 1,304.76