Finding the Fourth Proportional to 1,162.31, 1,743.86 and 432.09

Step by Step Solution

1. Step 1: Write the proportion equation
   1,162.31 : 1,743.86 = 432.09 : x
2. Step 2: Convert to fraction form
   1,162.31/1,743.86 = 432.09/x
3. Step 3: Cross multiply
   1,162.31x = 1,743.86 × 432.09
4. Step 4: Simplify right side
   1,162.31x = 753,505.55
5. Step 5: Solve for x
   x = 753,505.55/1,162.31
6. Step 6: Final answer
   x = 648.29