Finding the Fourth Proportional to 1,471.98, 2,031.25 and 842.57

Step by Step Solution

1. Step 1: Write the proportion equation
   1,471.98 : 2,031.25 = 842.57 : x
2. Step 2: Convert to fraction form
   1,471.98/2,031.25 = 842.57/x
3. Step 3: Cross multiply
   1,471.98x = 2,031.25 × 842.57
4. Step 4: Simplify right side
   1,471.98x = 1,711,470.31
5. Step 5: Solve for x
   x = 1,711,470.31/1,471.98
6. Step 6: Final answer
   x = 1,162.70