Finding the Fourth Proportional to 1,505.29, 2,077.30 and 842.15

Step by Step Solution

1. Step 1: Write the proportion equation
   1,505.29 : 2,077.30 = 842.15 : x
2. Step 2: Convert to fraction form
   1,505.29/2,077.30 = 842.15/x
3. Step 3: Cross multiply
   1,505.29x = 2,077.30 × 842.15
4. Step 4: Simplify right side
   1,505.29x = 1,749,383.60
5. Step 5: Solve for x
   x = 1,749,383.60/1,505.29
6. Step 6: Final answer
   x = 1,162.16