Finding the Fourth Proportional to 1,162.31, 1,744.16 and 642.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,162.31 : 1,744.16 = 642.02 : x
2. Step 2: Convert to fraction form
   1,162.31/1,744.16 = 642.02/x
3. Step 3: Cross multiply
   1,162.31x = 1,744.16 × 642.02
4. Step 4: Simplify right side
   1,162.31x = 1,119,773.67
5. Step 5: Solve for x
   x = 1,119,773.67/1,162.31
6. Step 6: Final answer
   x = 963.41