Finding the Fourth Proportional to 2,549.20, 3,817.61 and 1,296.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,549.20 : 3,817.61 = 1,296.50 : x
2. Step 2: Convert to fraction form
   2,549.20/3,817.61 = 1,296.50/x
3. Step 3: Cross multiply
   2,549.20x = 3,817.61 × 1,296.50
4. Step 4: Simplify right side
   2,549.20x = 4,949,512.28
5. Step 5: Solve for x
   x = 4,949,512.28/2,549.20
6. Step 6: Final answer
   x = 1,941.60