Finding the Fourth Proportional to 1,059.30, 1,582.25 and 842.22

Step by Step Solution

1. Step 1: Write the proportion equation
   1,059.30 : 1,582.25 = 842.22 : x
2. Step 2: Convert to fraction form
   1,059.30/1,582.25 = 842.22/x
3. Step 3: Cross multiply
   1,059.30x = 1,582.25 × 842.22
4. Step 4: Simplify right side
   1,059.30x = 1,332,598.38
5. Step 5: Solve for x
   x = 1,332,598.38/1,059.30
6. Step 6: Final answer
   x = 1,258.00