Finding the Fourth Proportional to 1,432.46, 1,976.32 and 842.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,432.46 : 1,976.32 = 842.78 : x
2. Step 2: Convert to fraction form
   1,432.46/1,976.32 = 842.78/x
3. Step 3: Cross multiply
   1,432.46x = 1,976.32 × 842.78
4. Step 4: Simplify right side
   1,432.46x = 1,665,602.97
5. Step 5: Solve for x
   x = 1,665,602.97/1,432.46
6. Step 6: Final answer
   x = 1,162.76