Finding the Fourth Proportional to 2,097.50, 2,894.56 and 1,166

Step by Step Solution

1. Step 1: Write the proportion equation
   2,097.50 : 2,894.56 = 1,166 : x
2. Step 2: Convert to fraction form
   2,097.50/2,894.56 = 1,166/x
3. Step 3: Cross multiply
   2,097.50x = 2,894.56 × 1,166
4. Step 4: Simplify right side
   2,097.50x = 3,375,056.96
5. Step 5: Solve for x
   x = 3,375,056.96/2,097.50
6. Step 6: Final answer
   x = 1,609.09