Finding the Fourth Proportional to 1,662.42, 2,493.63 and 429.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,662.42 : 2,493.63 = 429.82 : x
2. Step 2: Convert to fraction form
   1,662.42/2,493.63 = 429.82/x
3. Step 3: Cross multiply
   1,662.42x = 2,493.63 × 429.82
4. Step 4: Simplify right side
   1,662.42x = 1,071,812.05
5. Step 5: Solve for x
   x = 1,071,812.05/1,662.42
6. Step 6: Final answer
   x = 644.73