Finding the Fourth Proportional to 1,432.40, 1,975.86 and 842.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,432.40 : 1,975.86 = 842.82 : x
2. Step 2: Convert to fraction form
   1,432.40/1,975.86 = 842.82/x
3. Step 3: Cross multiply
   1,432.40x = 1,975.86 × 842.82
4. Step 4: Simplify right side
   1,432.40x = 1,665,294.33
5. Step 5: Solve for x
   x = 1,665,294.33/1,432.40
6. Step 6: Final answer
   x = 1,162.59