Finding the Fourth Proportional to 1,602.63, 2,402.37 and 678.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,602.63 : 2,402.37 = 678.42 : x
2. Step 2: Convert to fraction form
   1,602.63/2,402.37 = 678.42/x
3. Step 3: Cross multiply
   1,602.63x = 2,402.37 × 678.42
4. Step 4: Simplify right side
   1,602.63x = 1,629,815.86
5. Step 5: Solve for x
   x = 1,629,815.86/1,602.63
6. Step 6: Final answer
   x = 1,016.96