Finding the Fourth Proportional to 1,006.63, 1,510.24 and 429.55

Step by Step Solution

1. Step 1: Write the proportion equation
   1,006.63 : 1,510.24 = 429.55 : x
2. Step 2: Convert to fraction form
   1,006.63/1,510.24 = 429.55/x
3. Step 3: Cross multiply
   1,006.63x = 1,510.24 × 429.55
4. Step 4: Simplify right side
   1,006.63x = 648,723.59
5. Step 5: Solve for x
   x = 648,723.59/1,006.63
6. Step 6: Final answer
   x = 644.45