Finding the Fourth Proportional to 1,164.34, 1,747.28 and 433.89

Step by Step Solution

1. Step 1: Write the proportion equation
   1,164.34 : 1,747.28 = 433.89 : x
2. Step 2: Convert to fraction form
   1,164.34/1,747.28 = 433.89/x
3. Step 3: Cross multiply
   1,164.34x = 1,747.28 × 433.89
4. Step 4: Simplify right side
   1,164.34x = 758,125.15
5. Step 5: Solve for x
   x = 758,125.15/1,164.34
6. Step 6: Final answer
   x = 651.12