Finding the Fourth Proportional to 1,602.57, 2,404.03 and 678.23

Step by Step Solution

1. Step 1: Write the proportion equation
   1,602.57 : 2,404.03 = 678.23 : x
2. Step 2: Convert to fraction form
   1,602.57/2,404.03 = 678.23/x
3. Step 3: Cross multiply
   1,602.57x = 2,404.03 × 678.23
4. Step 4: Simplify right side
   1,602.57x = 1,630,472.82
5. Step 5: Solve for x
   x = 1,630,472.82/1,602.57
6. Step 6: Final answer
   x = 1,017.41