Finding the Fourth Proportional to 1,162.72, 1,742.49 and 431.59

Step by Step Solution

1. Step 1: Write the proportion equation
   1,162.72 : 1,742.49 = 431.59 : x
2. Step 2: Convert to fraction form
   1,162.72/1,742.49 = 431.59/x
3. Step 3: Cross multiply
   1,162.72x = 1,742.49 × 431.59
4. Step 4: Simplify right side
   1,162.72x = 752,041.26
5. Step 5: Solve for x
   x = 752,041.26/1,162.72
6. Step 6: Final answer
   x = 646.79