Finding the Fourth Proportional to 820.58, 1,222.87 and 796.89

Step by Step Solution

1. Step 1: Write the proportion equation
   820.58 : 1,222.87 = 796.89 : x
2. Step 2: Convert to fraction form
   820.58/1,222.87 = 796.89/x
3. Step 3: Cross multiply
   820.58x = 1,222.87 × 796.89
4. Step 4: Simplify right side
   820.58x = 974,492.32
5. Step 5: Solve for x
   x = 974,492.32/820.58
6. Step 6: Final answer
   x = 1,187.56