Finding the Fourth Proportional to 1,601.86, 2,401.46 and 678.14

Step by Step Solution

1. Step 1: Write the proportion equation
   1,601.86 : 2,401.46 = 678.14 : x
2. Step 2: Convert to fraction form
   1,601.86/2,401.46 = 678.14/x
3. Step 3: Cross multiply
   1,601.86x = 2,401.46 × 678.14
4. Step 4: Simplify right side
   1,601.86x = 1,628,526.08
5. Step 5: Solve for x
   x = 1,628,526.08/1,601.86
6. Step 6: Final answer
   x = 1,016.65