Finding the Fourth Proportional to 1,363.50, 1,881.72 and 774

Step by Step Solution

1. Step 1: Write the proportion equation
   1,363.50 : 1,881.72 = 774 : x
2. Step 2: Convert to fraction form
   1,363.50/1,881.72 = 774/x
3. Step 3: Cross multiply
   1,363.50x = 1,881.72 × 774
4. Step 4: Simplify right side
   1,363.50x = 1,456,451.28
5. Step 5: Solve for x
   x = 1,456,451.28/1,363.50
6. Step 6: Final answer
   x = 1,068.17