Finding the Fourth Proportional to 1,662.14, 2,493.15 and 429.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,662.14 : 2,493.15 = 429.50 : x
2. Step 2: Convert to fraction form
   1,662.14/2,493.15 = 429.50/x
3. Step 3: Cross multiply
   1,662.14x = 2,493.15 × 429.50
4. Step 4: Simplify right side
   1,662.14x = 1,070,807.93
5. Step 5: Solve for x
   x = 1,070,807.93/1,662.14
6. Step 6: Final answer
   x = 644.23