Finding the Fourth Proportional to 978.05, 1,467.61 and 748.42

Step by Step Solution

1. Step 1: Write the proportion equation
   978.05 : 1,467.61 = 748.42 : x
2. Step 2: Convert to fraction form
   978.05/1,467.61 = 748.42/x
3. Step 3: Cross multiply
   978.05x = 1,467.61 × 748.42
4. Step 4: Simplify right side
   978.05x = 1,098,383.14
5. Step 5: Solve for x
   x = 1,098,383.14/978.05
6. Step 6: Final answer
   x = 1,123.03