Finding the Fourth Proportional to 1,143.34, 1,577.78 and 677.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,143.34 : 1,577.78 = 677.50 : x
2. Step 2: Convert to fraction form
   1,143.34/1,577.78 = 677.50/x
3. Step 3: Cross multiply
   1,143.34x = 1,577.78 × 677.50
4. Step 4: Simplify right side
   1,143.34x = 1,068,945.95
5. Step 5: Solve for x
   x = 1,068,945.95/1,143.34
6. Step 6: Final answer
   x = 934.93