Finding the Fourth Proportional to 1,505.78, 2,078.00 and 842.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,505.78 : 2,078.00 = 842.63 : x
2. Step 2: Convert to fraction form
   1,505.78/2,078.00 = 842.63/x
3. Step 3: Cross multiply
   1,505.78x = 2,078.00 × 842.63
4. Step 4: Simplify right side
   1,505.78x = 1,750,970.54
5. Step 5: Solve for x
   x = 1,750,970.54/1,505.78
6. Step 6: Final answer
   x = 1,162.84