Finding the Fourth Proportional to 1,505.39, 2,077.37 and 842.24

Step by Step Solution

1. Step 1: Write the proportion equation
   1,505.39 : 2,077.37 = 842.24 : x
2. Step 2: Convert to fraction form
   1,505.39/2,077.37 = 842.24/x
3. Step 3: Cross multiply
   1,505.39x = 2,077.37 × 842.24
4. Step 4: Simplify right side
   1,505.39x = 1,749,635.83
5. Step 5: Solve for x
   x = 1,749,635.83/1,505.39
6. Step 6: Final answer
   x = 1,162.25