Finding the Fourth Proportional to 978.35, 1,466.71 and 685.01

Step by Step Solution

1. Step 1: Write the proportion equation
   978.35 : 1,466.71 = 685.01 : x
2. Step 2: Convert to fraction form
   978.35/1,466.71 = 685.01/x
3. Step 3: Cross multiply
   978.35x = 1,466.71 × 685.01
4. Step 4: Simplify right side
   978.35x = 1,004,704.72
5. Step 5: Solve for x
   x = 1,004,704.72/978.35
6. Step 6: Final answer
   x = 1,026.94