Finding the Fourth Proportional to 2,095.80, 3,142.50 and 864.06

Step by Step Solution

1. Step 1: Write the proportion equation
   2,095.80 : 3,142.50 = 864.06 : x
2. Step 2: Convert to fraction form
   2,095.80/3,142.50 = 864.06/x
3. Step 3: Cross multiply
   2,095.80x = 3,142.50 × 864.06
4. Step 4: Simplify right side
   2,095.80x = 2,715,288.52
5. Step 5: Solve for x
   x = 2,715,288.52/2,095.80
6. Step 6: Final answer
   x = 1,295.59