Finding the Fourth Proportional to 1,162.52, 1,744.55 and 642.90

Step by Step Solution

1. Step 1: Write the proportion equation
   1,162.52 : 1,744.55 = 642.90 : x
2. Step 2: Convert to fraction form
   1,162.52/1,744.55 = 642.90/x
3. Step 3: Cross multiply
   1,162.52x = 1,744.55 × 642.90
4. Step 4: Simplify right side
   1,162.52x = 1,121,567.98
5. Step 5: Solve for x
   x = 1,121,567.98/1,162.52
6. Step 6: Final answer
   x = 964.78