Finding the Fourth Proportional to 1,162.04, 1,742.72 and 431.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,162.04 : 1,742.72 = 431.50 : x
2. Step 2: Convert to fraction form
   1,162.04/1,742.72 = 431.50/x
3. Step 3: Cross multiply
   1,162.04x = 1,742.72 × 431.50
4. Step 4: Simplify right side
   1,162.04x = 751,983.68
5. Step 5: Solve for x
   x = 751,983.68/1,162.04
6. Step 6: Final answer
   x = 647.12