Finding the Fourth Proportional to 1,505.48, 2,077.32 and 842.34

Step by Step Solution

1. Step 1: Write the proportion equation
   1,505.48 : 2,077.32 = 842.34 : x
2. Step 2: Convert to fraction form
   1,505.48/2,077.32 = 842.34/x
3. Step 3: Cross multiply
   1,505.48x = 2,077.32 × 842.34
4. Step 4: Simplify right side
   1,505.48x = 1,749,809.73
5. Step 5: Solve for x
   x = 1,749,809.73/1,505.48
6. Step 6: Final answer
   x = 1,162.29