Finding the Fourth Proportional to 1,505.80, 2,078.04 and 842.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,505.80 : 2,078.04 = 842.72 : x
2. Step 2: Convert to fraction form
   1,505.80/2,078.04 = 842.72/x
3. Step 3: Cross multiply
   1,505.80x = 2,078.04 × 842.72
4. Step 4: Simplify right side
   1,505.80x = 1,751,205.87
5. Step 5: Solve for x
   x = 1,751,205.87/1,505.80
6. Step 6: Final answer
   x = 1,162.97