Finding the Fourth Proportional to 2,097.72, 2,894.97 and 1,166.22

Step by Step Solution

1. Step 1: Write the proportion equation
   2,097.72 : 2,894.97 = 1,166.22 : x
2. Step 2: Convert to fraction form
   2,097.72/2,894.97 = 1,166.22/x
3. Step 3: Cross multiply
   2,097.72x = 2,894.97 × 1,166.22
4. Step 4: Simplify right side
   2,097.72x = 3,376,171.91
5. Step 5: Solve for x
   x = 3,376,171.91/2,097.72
6. Step 6: Final answer
   x = 1,609.45