Finding the Fourth Proportional to 1,774.78, 2,661.72 and 678.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,774.78 : 2,661.72 = 678.82 : x
2. Step 2: Convert to fraction form
   1,774.78/2,661.72 = 678.82/x
3. Step 3: Cross multiply
   1,774.78x = 2,661.72 × 678.82
4. Step 4: Simplify right side
   1,774.78x = 1,806,828.77
5. Step 5: Solve for x
   x = 1,806,828.77/1,774.78
6. Step 6: Final answer
   x = 1,018.06