Finding the Fourth Proportional to 978.72, 1,461.12 and 832.96

Step by Step Solution

1. Step 1: Write the proportion equation
   978.72 : 1,461.12 = 832.96 : x
2. Step 2: Convert to fraction form
   978.72/1,461.12 = 832.96/x
3. Step 3: Cross multiply
   978.72x = 1,461.12 × 832.96
4. Step 4: Simplify right side
   978.72x = 1,217,054.52
5. Step 5: Solve for x
   x = 1,217,054.52/978.72
6. Step 6: Final answer
   x = 1,243.52