Finding the Fourth Proportional to 1,002.06, 1,503.57 and 353.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,002.06 : 1,503.57 = 353.10 : x
2. Step 2: Convert to fraction form
   1,002.06/1,503.57 = 353.10/x
3. Step 3: Cross multiply
   1,002.06x = 1,503.57 × 353.10
4. Step 4: Simplify right side
   1,002.06x = 530,910.57
5. Step 5: Solve for x
   x = 530,910.57/1,002.06
6. Step 6: Final answer
   x = 529.82