Finding the Fourth Proportional to 1,002.24, 1,503.42 and 344.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,002.24 : 1,503.42 = 344.10 : x
2. Step 2: Convert to fraction form
   1,002.24/1,503.42 = 344.10/x
3. Step 3: Cross multiply
   1,002.24x = 1,503.42 × 344.10
4. Step 4: Simplify right side
   1,002.24x = 517,326.82
5. Step 5: Solve for x
   x = 517,326.82/1,002.24
6. Step 6: Final answer
   x = 516.17