Finding the Fourth Proportional to 2,529.80, 3,798.24 and 1,298.12

Step by Step Solution

1. Step 1: Write the proportion equation
   2,529.80 : 3,798.24 = 1,298.12 : x
2. Step 2: Convert to fraction form
   2,529.80/3,798.24 = 1,298.12/x
3. Step 3: Cross multiply
   2,529.80x = 3,798.24 × 1,298.12
4. Step 4: Simplify right side
   2,529.80x = 4,930,571.31
5. Step 5: Solve for x
   x = 4,930,571.31/2,529.80
6. Step 6: Final answer
   x = 1,949.00