Finding the Fourth Proportional to 1,525.38, 2,287.71 and 429.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,525.38 : 2,287.71 = 429.50 : x
2. Step 2: Convert to fraction form
   1,525.38/2,287.71 = 429.50/x
3. Step 3: Cross multiply
   1,525.38x = 2,287.71 × 429.50
4. Step 4: Simplify right side
   1,525.38x = 982,560.01
5. Step 5: Solve for x
   x = 982,560.01/1,525.38
6. Step 6: Final answer
   x = 644.14