Finding the Fourth Proportional to 1,432.10, 1,976.11 and 842.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,432.10 : 1,976.11 = 842.42 : x
2. Step 2: Convert to fraction form
   1,432.10/1,976.11 = 842.42/x
3. Step 3: Cross multiply
   1,432.10x = 1,976.11 × 842.42
4. Step 4: Simplify right side
   1,432.10x = 1,664,702.60
5. Step 5: Solve for x
   x = 1,664,702.60/1,432.10
6. Step 6: Final answer
   x = 1,162.42