Finding the Fourth Proportional to 5,293.50, 7,940.25 and 1,596.78

Step by Step Solution

1. Step 1: Write the proportion equation
   5,293.50 : 7,940.25 = 1,596.78 : x
2. Step 2: Convert to fraction form
   5,293.50/7,940.25 = 1,596.78/x
3. Step 3: Cross multiply
   5,293.50x = 7,940.25 × 1,596.78
4. Step 4: Simplify right side
   5,293.50x = 12,678,856.24
5. Step 5: Solve for x
   x = 12,678,856.24/5,293.50
6. Step 6: Final answer
   x = 2,395.18