Finding the Fourth Proportional to 1,505.35, 2,077.31 and 842.20

Step by Step Solution

1. Step 1: Write the proportion equation
   1,505.35 : 2,077.31 = 842.20 : x
2. Step 2: Convert to fraction form
   1,505.35/2,077.31 = 842.20/x
3. Step 3: Cross multiply
   1,505.35x = 2,077.31 × 842.20
4. Step 4: Simplify right side
   1,505.35x = 1,749,507.39
5. Step 5: Solve for x
   x = 1,749,507.39/1,505.35
6. Step 6: Final answer
   x = 1,162.19