Finding the Fourth Proportional to 1,698.78, 2,547.86 and 774.37

Step by Step Solution

1. Step 1: Write the proportion equation
   1,698.78 : 2,547.86 = 774.37 : x
2. Step 2: Convert to fraction form
   1,698.78/2,547.86 = 774.37/x
3. Step 3: Cross multiply
   1,698.78x = 2,547.86 × 774.37
4. Step 4: Simplify right side
   1,698.78x = 1,972,981.91
5. Step 5: Solve for x
   x = 1,972,981.91/1,698.78
6. Step 6: Final answer
   x = 1,161.41