Finding the Fourth Proportional to 2,286.77, 3,429.61 and 825.86

Step by Step Solution

1. Step 1: Write the proportion equation
   2,286.77 : 3,429.61 = 825.86 : x
2. Step 2: Convert to fraction form
   2,286.77/3,429.61 = 825.86/x
3. Step 3: Cross multiply
   2,286.77x = 3,429.61 × 825.86
4. Step 4: Simplify right side
   2,286.77x = 2,832,384.22
5. Step 5: Solve for x
   x = 2,832,384.22/2,286.77
6. Step 6: Final answer
   x = 1,238.60