Finding the Fourth Proportional to 1,164.09, 1,744.55 and 643.32

Step by Step Solution

1. Step 1: Write the proportion equation
   1,164.09 : 1,744.55 = 643.32 : x
2. Step 2: Convert to fraction form
   1,164.09/1,744.55 = 643.32/x
3. Step 3: Cross multiply
   1,164.09x = 1,744.55 × 643.32
4. Step 4: Simplify right side
   1,164.09x = 1,122,300.69
5. Step 5: Solve for x
   x = 1,122,300.69/1,164.09
6. Step 6: Final answer
   x = 964.10