Finding the Fourth Proportional to 1,505.39, 2,077.41 and 842.27

Step by Step Solution

1. Step 1: Write the proportion equation
   1,505.39 : 2,077.41 = 842.27 : x
2. Step 2: Convert to fraction form
   1,505.39/2,077.41 = 842.27/x
3. Step 3: Cross multiply
   1,505.39x = 2,077.41 × 842.27
4. Step 4: Simplify right side
   1,505.39x = 1,749,729.73
5. Step 5: Solve for x
   x = 1,749,729.73/1,505.39
6. Step 6: Final answer
   x = 1,162.31