Finding the Fourth Proportional to 2,569.78, 3,545.43 and 2,096.86

Step by Step Solution

1. Step 1: Write the proportion equation
   2,569.78 : 3,545.43 = 2,096.86 : x
2. Step 2: Convert to fraction form
   2,569.78/3,545.43 = 2,096.86/x
3. Step 3: Cross multiply
   2,569.78x = 3,545.43 × 2,096.86
4. Step 4: Simplify right side
   2,569.78x = 7,434,270.35
5. Step 5: Solve for x
   x = 7,434,270.35/2,569.78
6. Step 6: Final answer
   x = 2,892.96