Finding the Fourth Proportional to 2,138.94, 3,209.32 and 1,027.82

Step by Step Solution

1. Step 1: Write the proportion equation
   2,138.94 : 3,209.32 = 1,027.82 : x
2. Step 2: Convert to fraction form
   2,138.94/3,209.32 = 1,027.82/x
3. Step 3: Cross multiply
   2,138.94x = 3,209.32 × 1,027.82
4. Step 4: Simplify right side
   2,138.94x = 3,298,612.59
5. Step 5: Solve for x
   x = 3,298,612.59/2,138.94
6. Step 6: Final answer
   x = 1,542.17