Finding the Fourth Proportional to 1,165.89, 1,747.72 and 435.27

Step by Step Solution

1. Step 1: Write the proportion equation
   1,165.89 : 1,747.72 = 435.27 : x
2. Step 2: Convert to fraction form
   1,165.89/1,747.72 = 435.27/x
3. Step 3: Cross multiply
   1,165.89x = 1,747.72 × 435.27
4. Step 4: Simplify right side
   1,165.89x = 760,727.91
5. Step 5: Solve for x
   x = 760,727.91/1,165.89
6. Step 6: Final answer
   x = 652.49