Finding the Fourth Proportional to 978.24, 1,468.17 and 737.67

Step by Step Solution

1. Step 1: Write the proportion equation
   978.24 : 1,468.17 = 737.67 : x
2. Step 2: Convert to fraction form
   978.24/1,468.17 = 737.67/x
3. Step 3: Cross multiply
   978.24x = 1,468.17 × 737.67
4. Step 4: Simplify right side
   978.24x = 1,083,024.96
5. Step 5: Solve for x
   x = 1,083,024.96/978.24
6. Step 6: Final answer
   x = 1,107.12