Finding the Fourth Proportional to 978.63, 1,465.83 and 824.88

Step by Step Solution

1. Step 1: Write the proportion equation
   978.63 : 1,465.83 = 824.88 : x
2. Step 2: Convert to fraction form
   978.63/1,465.83 = 824.88/x
3. Step 3: Cross multiply
   978.63x = 1,465.83 × 824.88
4. Step 4: Simplify right side
   978.63x = 1,209,133.85
5. Step 5: Solve for x
   x = 1,209,133.85/978.63
6. Step 6: Final answer
   x = 1,235.54