Finding the Fourth Proportional to 1,003.82, 1,505.74 and 354.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,003.82 : 1,505.74 = 354.10 : x
2. Step 2: Convert to fraction form
   1,003.82/1,505.74 = 354.10/x
3. Step 3: Cross multiply
   1,003.82x = 1,505.74 × 354.10
4. Step 4: Simplify right side
   1,003.82x = 533,183.86
5. Step 5: Solve for x
   x = 533,183.86/1,003.82
6. Step 6: Final answer
   x = 531.15