Finding the Fourth Proportional to 1,164.85, 1,745.72 and 433.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,164.85 : 1,745.72 = 433.69 : x
2. Step 2: Convert to fraction form
   1,164.85/1,745.72 = 433.69/x
3. Step 3: Cross multiply
   1,164.85x = 1,745.72 × 433.69
4. Step 4: Simplify right side
   1,164.85x = 757,101.31
5. Step 5: Solve for x
   x = 757,101.31/1,164.85
6. Step 6: Final answer
   x = 649.96