Finding the Fourth Proportional to 1,432.32, 1,976.31 and 842.64

Step by Step Solution

1. Step 1: Write the proportion equation
   1,432.32 : 1,976.31 = 842.64 : x
2. Step 2: Convert to fraction form
   1,432.32/1,976.31 = 842.64/x
3. Step 3: Cross multiply
   1,432.32x = 1,976.31 × 842.64
4. Step 4: Simplify right side
   1,432.32x = 1,665,317.86
5. Step 5: Solve for x
   x = 1,665,317.86/1,432.32
6. Step 6: Final answer
   x = 1,162.67