Finding the Fourth Proportional to 5,142.31, 7,096.42 and 2,784.45

Step by Step Solution

1. Step 1: Write the proportion equation
   5,142.31 : 7,096.42 = 2,784.45 : x
2. Step 2: Convert to fraction form
   5,142.31/7,096.42 = 2,784.45/x
3. Step 3: Cross multiply
   5,142.31x = 7,096.42 × 2,784.45
4. Step 4: Simplify right side
   5,142.31x = 19,759,601.18
5. Step 5: Solve for x
   x = 19,759,601.18/5,142.31
6. Step 6: Final answer
   x = 3,842.56