Finding the Fourth Proportional to 1,367.78, 2,046.80 and 787.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,367.78 : 2,046.80 = 787.82 : x
2. Step 2: Convert to fraction form
   1,367.78/2,046.80 = 787.82/x
3. Step 3: Cross multiply
   1,367.78x = 2,046.80 × 787.82
4. Step 4: Simplify right side
   1,367.78x = 1,612,501.71
5. Step 5: Solve for x
   x = 1,612,501.71/1,367.78
6. Step 6: Final answer
   x = 1,178.92