Finding the Fourth Proportional to 1,443.64, 2,164.94 and 469.48

Step by Step Solution

1. Step 1: Write the proportion equation
   1,443.64 : 2,164.94 = 469.48 : x
2. Step 2: Convert to fraction form
   1,443.64/2,164.94 = 469.48/x
3. Step 3: Cross multiply
   1,443.64x = 2,164.94 × 469.48
4. Step 4: Simplify right side
   1,443.64x = 1,016,396.03
5. Step 5: Solve for x
   x = 1,016,396.03/1,443.64
6. Step 6: Final answer
   x = 704.05