Finding the Fourth Proportional to 978.50, 1,467.48 and 824.52

Step by Step Solution

1. Step 1: Write the proportion equation
   978.50 : 1,467.48 = 824.52 : x
2. Step 2: Convert to fraction form
   978.50/1,467.48 = 824.52/x
3. Step 3: Cross multiply
   978.50x = 1,467.48 × 824.52
4. Step 4: Simplify right side
   978.50x = 1,209,966.61
5. Step 5: Solve for x
   x = 1,209,966.61/978.50
6. Step 6: Final answer
   x = 1,236.55