Finding the Fourth Proportional to 1,340.32, 1,849.16 and 842.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,340.32 : 1,849.16 = 842.78 : x
2. Step 2: Convert to fraction form
   1,340.32/1,849.16 = 842.78/x
3. Step 3: Cross multiply
   1,340.32x = 1,849.16 × 842.78
4. Step 4: Simplify right side
   1,340.32x = 1,558,435.06
5. Step 5: Solve for x
   x = 1,558,435.06/1,340.32
6. Step 6: Final answer
   x = 1,162.73