Finding the Fourth Proportional to 1,069.78, 1,603.86 and 492.52

Step by Step Solution

1. Step 1: Write the proportion equation
   1,069.78 : 1,603.86 = 492.52 : x
2. Step 2: Convert to fraction form
   1,069.78/1,603.86 = 492.52/x
3. Step 3: Cross multiply
   1,069.78x = 1,603.86 × 492.52
4. Step 4: Simplify right side
   1,069.78x = 789,933.13
5. Step 5: Solve for x
   x = 789,933.13/1,069.78
6. Step 6: Final answer
   x = 738.41