Finding the Fourth Proportional to 1,002.21, 1,502.27 and 343.89

Step by Step Solution

1. Step 1: Write the proportion equation
   1,002.21 : 1,502.27 = 343.89 : x
2. Step 2: Convert to fraction form
   1,002.21/1,502.27 = 343.89/x
3. Step 3: Cross multiply
   1,002.21x = 1,502.27 × 343.89
4. Step 4: Simplify right side
   1,002.21x = 516,613.91
5. Step 5: Solve for x
   x = 516,613.91/1,002.21
6. Step 6: Final answer
   x = 515.47