Finding the Fourth Proportional to 1,505.30, 2,077.38 and 842.15

Step by Step Solution

1. Step 1: Write the proportion equation
   1,505.30 : 2,077.38 = 842.15 : x
2. Step 2: Convert to fraction form
   1,505.30/2,077.38 = 842.15/x
3. Step 3: Cross multiply
   1,505.30x = 2,077.38 × 842.15
4. Step 4: Simplify right side
   1,505.30x = 1,749,465.57
5. Step 5: Solve for x
   x = 1,749,465.57/1,505.30
6. Step 6: Final answer
   x = 1,162.20