Finding the Fourth Proportional to 2,533.82, 3,494.49 and 1,649.30

Step by Step Solution

1. Step 1: Write the proportion equation
   2,533.82 : 3,494.49 = 1,649.30 : x
2. Step 2: Convert to fraction form
   2,533.82/3,494.49 = 1,649.30/x
3. Step 3: Cross multiply
   2,533.82x = 3,494.49 × 1,649.30
4. Step 4: Simplify right side
   2,533.82x = 5,763,462.36
5. Step 5: Solve for x
   x = 5,763,462.36/2,533.82
6. Step 6: Final answer
   x = 2,274.61