Finding the Fourth Proportional to 2,069.28, 3,096.63 and 1,578.42

Step by Step Solution

1. Step 1: Write the proportion equation
   2,069.28 : 3,096.63 = 1,578.42 : x
2. Step 2: Convert to fraction form
   2,069.28/3,096.63 = 1,578.42/x
3. Step 3: Cross multiply
   2,069.28x = 3,096.63 × 1,578.42
4. Step 4: Simplify right side
   2,069.28x = 4,887,782.72
5. Step 5: Solve for x
   x = 4,887,782.72/2,069.28
6. Step 6: Final answer
   x = 2,362.07