Finding the Fourth Proportional to 5,142.30, 7,096.29 and 2,784.42

Step by Step Solution

1. Step 1: Write the proportion equation
   5,142.30 : 7,096.29 = 2,784.42 : x
2. Step 2: Convert to fraction form
   5,142.30/7,096.29 = 2,784.42/x
3. Step 3: Cross multiply
   5,142.30x = 7,096.29 × 2,784.42
4. Step 4: Simplify right side
   5,142.30x = 19,759,051.80
5. Step 5: Solve for x
   x = 19,759,051.80/5,142.30
6. Step 6: Final answer
   x = 3,842.45