Finding the Fourth Proportional to 2,097.77, 3,146.31 and 864.72

Step by Step Solution

1. Step 1: Write the proportion equation
   2,097.77 : 3,146.31 = 864.72 : x
2. Step 2: Convert to fraction form
   2,097.77/3,146.31 = 864.72/x
3. Step 3: Cross multiply
   2,097.77x = 3,146.31 × 864.72
4. Step 4: Simplify right side
   2,097.77x = 2,720,677.18
5. Step 5: Solve for x
   x = 2,720,677.18/2,097.77
6. Step 6: Final answer
   x = 1,296.94