Finding the Fourth Proportional to 2,097.82, 3,146.67 and 864.30

Step by Step Solution

1. Step 1: Write the proportion equation
   2,097.82 : 3,146.67 = 864.30 : x
2. Step 2: Convert to fraction form
   2,097.82/3,146.67 = 864.30/x
3. Step 3: Cross multiply
   2,097.82x = 3,146.67 × 864.30
4. Step 4: Simplify right side
   2,097.82x = 2,719,654.56
5. Step 5: Solve for x
   x = 2,719,654.56/2,097.82
6. Step 6: Final answer
   x = 1,296.42