Finding the Fourth Proportional to 1,007.26, 1,510.17 and 429.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,007.26 : 1,510.17 = 429.82 : x
2. Step 2: Convert to fraction form
   1,007.26/1,510.17 = 429.82/x
3. Step 3: Cross multiply
   1,007.26x = 1,510.17 × 429.82
4. Step 4: Simplify right side
   1,007.26x = 649,101.27
5. Step 5: Solve for x
   x = 649,101.27/1,007.26
6. Step 6: Final answer
   x = 644.42