Finding the Fourth Proportional to 1,505.89, 2,078.23 and 842.70

Step by Step Solution

1. Step 1: Write the proportion equation
   1,505.89 : 2,078.23 = 842.70 : x
2. Step 2: Convert to fraction form
   1,505.89/2,078.23 = 842.70/x
3. Step 3: Cross multiply
   1,505.89x = 2,078.23 × 842.70
4. Step 4: Simplify right side
   1,505.89x = 1,751,324.42
5. Step 5: Solve for x
   x = 1,751,324.42/1,505.89
6. Step 6: Final answer
   x = 1,162.98