Finding the Fourth Proportional to 1,505.37, 2,077.61 and 842.48

Step by Step Solution

1. Step 1: Write the proportion equation
   1,505.37 : 2,077.61 = 842.48 : x
2. Step 2: Convert to fraction form
   1,505.37/2,077.61 = 842.48/x
3. Step 3: Cross multiply
   1,505.37x = 2,077.61 × 842.48
4. Step 4: Simplify right side
   1,505.37x = 1,750,330.27
5. Step 5: Solve for x
   x = 1,750,330.27/1,505.37
6. Step 6: Final answer
   x = 1,162.72