Finding the Fourth Proportional to 5,142.57, 7,096.71 and 2,784.66

Step by Step Solution

1. Step 1: Write the proportion equation
   5,142.57 : 7,096.71 = 2,784.66 : x
2. Step 2: Convert to fraction form
   5,142.57/7,096.71 = 2,784.66/x
3. Step 3: Cross multiply
   5,142.57x = 7,096.71 × 2,784.66
4. Step 4: Simplify right side
   5,142.57x = 19,761,924.47
5. Step 5: Solve for x
   x = 19,761,924.47/5,142.57
6. Step 6: Final answer
   x = 3,842.81