Finding the Fourth Proportional to 735.69, 1,099.56 and 677.31

Step by Step Solution

1. Step 1: Write the proportion equation
   735.69 : 1,099.56 = 677.31 : x
2. Step 2: Convert to fraction form
   735.69/1,099.56 = 677.31/x
3. Step 3: Cross multiply
   735.69x = 1,099.56 × 677.31
4. Step 4: Simplify right side
   735.69x = 744,742.98
5. Step 5: Solve for x
   x = 744,742.98/735.69
6. Step 6: Final answer
   x = 1,012.31