Finding the Fourth Proportional to 2,596.76, 3,896.34 and 1,299.08

Step by Step Solution

1. Step 1: Write the proportion equation
   2,596.76 : 3,896.34 = 1,299.08 : x
2. Step 2: Convert to fraction form
   2,596.76/3,896.34 = 1,299.08/x
3. Step 3: Cross multiply
   2,596.76x = 3,896.34 × 1,299.08
4. Step 4: Simplify right side
   2,596.76x = 5,061,657.37
5. Step 5: Solve for x
   x = 5,061,657.37/2,596.76
6. Step 6: Final answer
   x = 1,949.22