Finding the Fourth Proportional to 1,505.41, 2,077.37 and 842.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,505.41 : 2,077.37 = 842.31 : x
2. Step 2: Convert to fraction form
   1,505.41/2,077.37 = 842.31/x
3. Step 3: Cross multiply
   1,505.41x = 2,077.37 × 842.31
4. Step 4: Simplify right side
   1,505.41x = 1,749,774.93
5. Step 5: Solve for x
   x = 1,749,774.93/1,505.41
6. Step 6: Final answer
   x = 1,162.33