Finding the Fourth Proportional to 1,162.46, 1,742.78 and 432.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,162.46 : 1,742.78 = 432.02 : x
2. Step 2: Convert to fraction form
   1,162.46/1,742.78 = 432.02/x
3. Step 3: Cross multiply
   1,162.46x = 1,742.78 × 432.02
4. Step 4: Simplify right side
   1,162.46x = 752,915.82
5. Step 5: Solve for x
   x = 752,915.82/1,162.46
6. Step 6: Final answer
   x = 647.69