Finding the Fourth Proportional to 1,505.91, 2,078.15 and 842.79

Step by Step Solution

1. Step 1: Write the proportion equation
   1,505.91 : 2,078.15 = 842.79 : x
2. Step 2: Convert to fraction form
   1,505.91/2,078.15 = 842.79/x
3. Step 3: Cross multiply
   1,505.91x = 2,078.15 × 842.79
4. Step 4: Simplify right side
   1,505.91x = 1,751,444.04
5. Step 5: Solve for x
   x = 1,751,444.04/1,505.91
6. Step 6: Final answer
   x = 1,163.05