Finding the Fourth Proportional to 1,007.59, 1,510.82 and 349.16

Step by Step Solution

1. Step 1: Write the proportion equation
   1,007.59 : 1,510.82 = 349.16 : x
2. Step 2: Convert to fraction form
   1,007.59/1,510.82 = 349.16/x
3. Step 3: Cross multiply
   1,007.59x = 1,510.82 × 349.16
4. Step 4: Simplify right side
   1,007.59x = 527,508.61
5. Step 5: Solve for x
   x = 527,508.61/1,007.59
6. Step 6: Final answer
   x = 523.54