Finding the Fourth Proportional to 2,138.82, 3,205.80 and 969.72

Step by Step Solution

1. Step 1: Write the proportion equation
   2,138.82 : 3,205.80 = 969.72 : x
2. Step 2: Convert to fraction form
   2,138.82/3,205.80 = 969.72/x
3. Step 3: Cross multiply
   2,138.82x = 3,205.80 × 969.72
4. Step 4: Simplify right side
   2,138.82x = 3,108,728.38
5. Step 5: Solve for x
   x = 3,108,728.38/2,138.82
6. Step 6: Final answer
   x = 1,453.48