Finding the Fourth Proportional to 1,651.50, 2,478.06 and 678.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,651.50 : 2,478.06 = 678.42 : x
2. Step 2: Convert to fraction form
   1,651.50/2,478.06 = 678.42/x
3. Step 3: Cross multiply
   1,651.50x = 2,478.06 × 678.42
4. Step 4: Simplify right side
   1,651.50x = 1,681,165.47
5. Step 5: Solve for x
   x = 1,681,165.47/1,651.50
6. Step 6: Final answer
   x = 1,017.96