Finding the Fourth Proportional to 978.14, 1,348.43 and 697.89

Step by Step Solution

1. Step 1: Write the proportion equation
   978.14 : 1,348.43 = 697.89 : x
2. Step 2: Convert to fraction form
   978.14/1,348.43 = 697.89/x
3. Step 3: Cross multiply
   978.14x = 1,348.43 × 697.89
4. Step 4: Simplify right side
   978.14x = 941,055.81
5. Step 5: Solve for x
   x = 941,055.81/978.14
6. Step 6: Final answer
   x = 962.09