Finding the Fourth Proportional to 1,165.34, 1,747.46 and 434.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,165.34 : 1,747.46 = 434.72 : x
2. Step 2: Convert to fraction form
   1,165.34/1,747.46 = 434.72/x
3. Step 3: Cross multiply
   1,165.34x = 1,747.46 × 434.72
4. Step 4: Simplify right side
   1,165.34x = 759,648.16
5. Step 5: Solve for x
   x = 759,648.16/1,165.34
6. Step 6: Final answer
   x = 651.87