Finding the Fourth Proportional to 5,142.43, 7,096.53 and 2,784.57

Step by Step Solution

1. Step 1: Write the proportion equation
   5,142.43 : 7,096.53 = 2,784.57 : x
2. Step 2: Convert to fraction form
   5,142.43/7,096.53 = 2,784.57/x
3. Step 3: Cross multiply
   5,142.43x = 7,096.53 × 2,784.57
4. Step 4: Simplify right side
   5,142.43x = 19,760,784.54
5. Step 5: Solve for x
   x = 19,760,784.54/5,142.43
6. Step 6: Final answer
   x = 3,842.70