Finding the Fourth Proportional to 1,505.32, 2,077.28 and 842.20

Step by Step Solution

1. Step 1: Write the proportion equation
   1,505.32 : 2,077.28 = 842.20 : x
2. Step 2: Convert to fraction form
   1,505.32/2,077.28 = 842.20/x
3. Step 3: Cross multiply
   1,505.32x = 2,077.28 × 842.20
4. Step 4: Simplify right side
   1,505.32x = 1,749,485.22
5. Step 5: Solve for x
   x = 1,749,485.22/1,505.32
6. Step 6: Final answer
   x = 1,162.20