Finding the Fourth Proportional to 1,106.50, 1,524.32 and 774.30

Step by Step Solution

1. Step 1: Write the proportion equation
   1,106.50 : 1,524.32 = 774.30 : x
2. Step 2: Convert to fraction form
   1,106.50/1,524.32 = 774.30/x
3. Step 3: Cross multiply
   1,106.50x = 1,524.32 × 774.30
4. Step 4: Simplify right side
   1,106.50x = 1,180,280.98
5. Step 5: Solve for x
   x = 1,180,280.98/1,106.50
6. Step 6: Final answer
   x = 1,066.68