Finding the Fourth Proportional to 738.10, 1,018.55 and 406.52

Step by Step Solution

1. Step 1: Write the proportion equation
   738.10 : 1,018.55 = 406.52 : x
2. Step 2: Convert to fraction form
   738.10/1,018.55 = 406.52/x
3. Step 3: Cross multiply
   738.10x = 1,018.55 × 406.52
4. Step 4: Simplify right side
   738.10x = 414,064.51
5. Step 5: Solve for x
   x = 414,064.51/738.10
6. Step 6: Final answer
   x = 560.99