Finding the Fourth Proportional to 820.08, 1,132.72 and 598.72

Step by Step Solution

1. Step 1: Write the proportion equation
   820.08 : 1,132.72 = 598.72 : x
2. Step 2: Convert to fraction form
   820.08/1,132.72 = 598.72/x
3. Step 3: Cross multiply
   820.08x = 1,132.72 × 598.72
4. Step 4: Simplify right side
   820.08x = 678,182.12
5. Step 5: Solve for x
   x = 678,182.12/820.08
6. Step 6: Final answer
   x = 826.97