Finding the Fourth Proportional to 2,096.61, 2,891.45 and 1,566.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,096.61 : 2,891.45 = 1,566.78 : x
2. Step 2: Convert to fraction form
   2,096.61/2,891.45 = 1,566.78/x
3. Step 3: Cross multiply
   2,096.61x = 2,891.45 × 1,566.78
4. Step 4: Simplify right side
   2,096.61x = 4,530,258.20
5. Step 5: Solve for x
   x = 4,530,258.20/2,096.61
6. Step 6: Final answer
   x = 2,160.75