Finding the Fourth Proportional to 2,097.56, 2,894.52 and 1,166

Step by Step Solution

1. Step 1: Write the proportion equation
   2,097.56 : 2,894.52 = 1,166 : x
2. Step 2: Convert to fraction form
   2,097.56/2,894.52 = 1,166/x
3. Step 3: Cross multiply
   2,097.56x = 2,894.52 × 1,166
4. Step 4: Simplify right side
   2,097.56x = 3,375,010.32
5. Step 5: Solve for x
   x = 3,375,010.32/2,097.56
6. Step 6: Final answer
   x = 1,609.02