Finding the Fourth Proportional to 1,164.83, 1,745.33 and 643.54

Step by Step Solution

1. Step 1: Write the proportion equation
   1,164.83 : 1,745.33 = 643.54 : x
2. Step 2: Convert to fraction form
   1,164.83/1,745.33 = 643.54/x
3. Step 3: Cross multiply
   1,164.83x = 1,745.33 × 643.54
4. Step 4: Simplify right side
   1,164.83x = 1,123,191.92
5. Step 5: Solve for x
   x = 1,123,191.92/1,164.83
6. Step 6: Final answer
   x = 964.25