Finding the Fourth Proportional to 2,297.02, 3,440.40 and 1,645.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,297.02 : 3,440.40 = 1,645.78 : x
2. Step 2: Convert to fraction form
   2,297.02/3,440.40 = 1,645.78/x
3. Step 3: Cross multiply
   2,297.02x = 3,440.40 × 1,645.78
4. Step 4: Simplify right side
   2,297.02x = 5,662,141.51
5. Step 5: Solve for x
   x = 5,662,141.51/2,297.02
6. Step 6: Final answer
   x = 2,464.99