Finding the Fourth Proportional to 1,014.72, 1,522.69 and 429.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,014.72 : 1,522.69 = 429.69 : x
2. Step 2: Convert to fraction form
   1,014.72/1,522.69 = 429.69/x
3. Step 3: Cross multiply
   1,014.72x = 1,522.69 × 429.69
4. Step 4: Simplify right side
   1,014.72x = 654,284.67
5. Step 5: Solve for x
   x = 654,284.67/1,014.72
6. Step 6: Final answer
   x = 644.79